More fancy equations for beginners
None
Watch the entire video
Example 1: Variables on both sides
Multistep equations 1
Discussion and questions for this video
 Solve for y and check your solution
 Twenty minus seven 'y' equals six 'y' minus six
 So what I really want to do is just isolate all of the 'y's on one side of the equation then if there's some sort of coefficient in front of it, I can divide both sides by that coefficient,
 and I can isolate the 'y' on either the left side or the right side of the equation.
 Actually let me do it both ways.
 So, first, let's... it looks like it'll be a little bit simpler if I isolate it on the righthand side
 and I'll show you that in a second.
 So if I want to put all of the y's on the right
 hand side, how can I get rid of all the 'y's on the lefthand side?
 I have a minus seven 'y' or you can use the negative
 seven 'y'.
 I can add seven 'y' to both sides of this equation, so I'm just
 adding seven 'y' to both sides.
 Then the left hand side of the equation you have twenty minus seven 'y' plus seven y.
 Those are going to cancel out you're going to be just left with twenty.
 And on the right hand side of the equation
 you have six 'y' plus seven 'y' which is thirteen y.
 And then you have your minus six.
 And I want only 'y's or multiples of 'y's on the right hand side of the equation
 so I have to get rid of this minus six over here.
 So let's add six to both sides of this equation.
 Let's add six and then on the right hand
 side, I have thirteen 'y' minus six, plus
 six, that's just thirteen 'y'. Got rid of the minus.
 Then I have twenty plus six, so that's twentysix. So I get twentysix is equal to thirteen 'y'.
 I have isolated the 'y'
 on the right hand side although it's to be multiplied by thirteen.
 So if I just want a 'y'
 on the right hand side, one 'y' on the right hand side.
 I can divide both sides by thirteen.
 Or the equivalent statement would be to multiply both sides by one over thirteen, same thing.
 So let's divide both sides of this equation by thirteen.
 On the righthand side, thirteen times 'y' divided by thirteen, that's just going to be 'y'.
 So this is just 'y'.
 And then twentysix divided by thirteen
 that is two.
 So our solution we got is 'y' is equal to two.
 Now I'm going to take a step back, why did I say it was going to be a little easier to put the 'y'
 on the right hand side of the equation.
 That way I have a positive coefficient in terms of 'y'.
 If I had subtracted six 'y'
 from both sides, I would have got a negative thirteen on both sides, which would have been a legitimate t
 thing to do
 Let me just show you, what I'm talking about.
 So I could have done the problem this way:
 Twenty
Be specific, and indicate a time in the video:
At 5:31, how is the moon large enough to block the sun? Isn't the sun way larger?

Have something that's not a question about this content? 
This discussion area is not meant for answering homework questions.
Why is it better for all the Variables to be on the right hand side instead of the left hand side?
would you like x=4y+2 or 4y+2=x
there both good but its just personal prefence to have x on the left
there both good but its just personal prefence to have x on the left
My friend told me that x is commonly used because not many words start with x and same with y.
Sal just did that because he thought it was easier, with a positive coefficient.
it is not better but i guess that is how people write these problems
It isn't, it is a matter of preference. However, many people choose to always have it on the left, always on the right, or whichever side that allows the variable to have a coefficient nearest to positive single digits.
well maybe you need your but kit
Variables to be on the left side .
Sal said THIS problem looks like it would be easier to isolate the 'y' variable on the right. It depends on the problem and preference. Sal explains why for this problem around 2:20. Moving the 'y' to the left gives you:
13y = 26
which is slightly less nice looking than:
26 = 13y
because of the negatives. At least to Sal and me :)
13y = 26
which is slightly less nice looking than:
26 = 13y
because of the negatives. At least to Sal and me :)
It doesn't really matter it is just what every you feel more comfortable with or what ever is easier because you could end up with a negative number if you more things to one side and on the other side it could work out nicely and be a positive. So really it depends on the problem and what you like!! 😃😃
It is easier to read. You can quickly see what is equal to the variable.
Personally, I prefer the variable on the left side, because thats how it is in programming. y =2 and not 2 = y. Helps me remember. but either is alright.
Mathematics is generally written and read from left to right (as it was widely developed in Europe, where all, or almost all of the native languages are written from left to right). Therefore, when you have to find or define the value of a variable, you usually the variable on the left, and the expression it equals to  on the right.
In our case, it wouldn't be a disaster if you wrote it the opposite, but it would look pretty bad if you wrote a function this way "x² = f(x)". The same goes for vectors, elements in a sequence, and probably many other branches of math.
In our case, it wouldn't be a disaster if you wrote it the opposite, but it would look pretty bad if you wrote a function this way "x² = f(x)". The same goes for vectors, elements in a sequence, and probably many other branches of math.
It isn't just a matter of preference, its whether you like negative numbers or positive number. If you subtract the smaller variable you will have less negative numbers.
It's probably because of the choice between doing addition or subtraction with negative numbers. Most people prefer adding with positive numbers, but either way is correct.
It doesn't, it's just which one you prefer most. Even I prefer the left hand side.
Where's the "practice this concept" button?
when you finish the video it will normally pop up.
Unfortunately, not all of the video's have an exercise to go with them...
Not every video has a practice because essentially what Sal is teaching us is how to solve more complicated questions. But if we were to learn a new skill or concept a practice button would be there! Please vote up!
There are only "practice this concept" buttons for certain videos. However, a general equation practice exercise should be available.
thanks guys :)
there is none,I don't know why though.
you go on practice, then you type in what you want to practice, to get this i typed in 'equations' and then a whole list comes up and you can chose.
Hope this helps!
Hope this helps!
in exercise dashboard click on linear equations 3 & 4
Really, kamian.weaver.2012 ??? Maybe a few videos to the right or left. This is just an excercise.
No offense kamian.weaver.2012 but that was unnecessary and rude.
when your done with it
just find it, its right there after the video
Does anyone know why he divides by 13 in the end
It is because he wants to find the value of 1y, not 13y.
He needed to just have Y by itself in order to see what it was equal to.
he's doing it coz he wants to find 1y not 13y's. same as zoelvtt said.
You need to isolate the variable
He divides by 13 in the end so he can get the value of y not 13 y!
because 207=13 and 7+6=13
I dont get what your saying.
i be sayin' dat da 13y be devided inta da 4
this is durifific
What if there are more than 1 "y" like 3 + 3y + 5y = 4  2y + 3y? Would you combine the y's?
you combine the y's to make the equation easier to work with, and so you can reduce messing up, and it takes less steps. does this help?
just combine the like terms ( the y's) to make it easier to work with
to make the equation simpler so you get 3+8y=45y
Yes, you would. Your little example is 8y+3=y+4, which simplifies to y=1/7.
to make the equation simpler
so you get 3+8y=45y
so you get 3+8y=45y
yes.....because they are like terms
that means that they have a variable with the same power
just like 2+3+4=5+1+3
it adds up to 9=9
even though there's a y, the principle is the same
that means that they have a variable with the same power
just like 2+3+4=5+1+3
it adds up to 9=9
even though there's a y, the principle is the same
Or you can just ask somebioyd
What is a coofichant?
A coefficient is the number in front of a variable that tells how much of the variable is contained in the problem. For example, in the expression 2x, two is the coefficient. There are two x's, which can also be represented by x+x.
A coefficient is a number in front of a variable, like y, that tells you that if you have a number "y", 5y is 5 times the number y.
because when i did it it still came out with the right answer either way!!
Does it matter if you do any variable first??
yes you can combine the ys
You guys know what Sal should put on here? A collaborative work space (where we can talk, hang out, ask questions, and stuff), an energy points store, and cool math games where we can earn coins and things for the store! Doesn't that sound awesome?!?!?!?!? Vote up if you want any or all of these...
bring the store!
I think that all of this would be cool
I have a question.
Before viewing Sal's Answer, I came to compute this equation on my own. After my calcualtion, my answer was proven 14=y. Well, Sal's example proved to be a totally different answer: 2=y. This is because in step 1, he ADDED the two like variables together, which gave him 13y.
Well, my question is why do you add? Both equations on both sides have subtraction. Wouldn't it be more logical to have 7y and 6y SUBTRACTED instead?
Thank you,
Ethan Lott
Before viewing Sal's Answer, I came to compute this equation on my own. After my calcualtion, my answer was proven 14=y. Well, Sal's example proved to be a totally different answer: 2=y. This is because in step 1, he ADDED the two like variables together, which gave him 13y.
Well, my question is why do you add? Both equations on both sides have subtraction. Wouldn't it be more logical to have 7y and 6y SUBTRACTED instead?
Thank you,
Ethan Lott
OK, so Sal's problem was:
207y = 6y 6. Solve for y.
Both sides of the equation DO have subtraction, like you said, but on the left, it's 20 minus 7y and on the right it's 6y minus 6.
6y6 doesn't mean negative 6y. It means
postive 6y and negative 6
+6y6
So you could write it like this:
+20 7y = +6y 6
(Now, write a positive 7y on both sides to cancel out the negative 7y)
+20 7y +7y = +6y +7y 6
(Now, add: 7+7=0)
+20 = +13y  6
(Now, add positive 6 to both sides to cancel out the negative 6)
+20 +6 = +13y 6 +6
(Now, add: 6+6=0)
+26 = +13y
(Now, divide by positive 13 on both sides: +13/+13 = +1)
+2 = y
So, y = 2 Done!
207y = 6y 6. Solve for y.
Both sides of the equation DO have subtraction, like you said, but on the left, it's 20 minus 7y and on the right it's 6y minus 6.
6y6 doesn't mean negative 6y. It means
postive 6y and negative 6
+6y6
So you could write it like this:
+20 7y = +6y 6
(Now, write a positive 7y on both sides to cancel out the negative 7y)
+20 7y +7y = +6y +7y 6
(Now, add: 7+7=0)
+20 = +13y  6
(Now, add positive 6 to both sides to cancel out the negative 6)
+20 +6 = +13y 6 +6
(Now, add: 6+6=0)
+26 = +13y
(Now, divide by positive 13 on both sides: +13/+13 = +1)
+2 = y
So, y = 2 Done!
i am in 8th grade and i understand math very well, but i always forget this simple math. So what is standard form? your guy's answers are easier to understand than teacher's because they talk too long and i loos focus on their words so yeah(:.....................................never mind wrong video
standard form is like being told to write in numbers. for example you are told to write four thousand six hundred and eighty two in standard form. it is 4682. what i have written in numbers is what is standard form. to understand better, go to you see where you can search for a video and watch place value 2. sal has an example. i hope this helps.
i m in 5th grade and i like this program
@colorfulrainbow you can't be in China because in China you can't watch YouTube!
Just watch the first videos and u'll get everything. trust me :)
standard form is just the answer
yes i am actually and mabye you would understand in you came to USA!
@manny.wignall i think he is actually in Canada because of the way he spelled colourful with a u. also he says maybe
stop being mean, this is supposed to be a learning website, not trash talk mania
hello talk ask more data
standerd form is the number in numbers and try your best not to loos focus
how do you watch the wrong video. such a dork jk
we all loos focus just try your best
Why don't u ask your dad.
i'm in the same boat but in 7th and in advanced math :oD
hahaha troll a lol
i still dont get it ?
How can i do a video like this?
go on paint color the backdrop black download hypercam get a mic record your voice
get a bamboo tablet and a microphone
get a sketch board like Mr.Khan and download an internal camera thingy and algebraic calculator hope this helps!
ask more help good
How come he divides by 13 in the end?
He divides both sides by 13 to come up with only one y on the left side. 13y = 26 is not the full answer that we need, we are looking to find what the value of only 1 (one) y is and that is why we need to divide both sides by 13.
You can also multiply both sides by 1\13 (multiplicative inverse of 13) and you will get the same answer !
Divide both sides by 13:
13y = 26
13y/13 = 26/13
y=2
or multiply both sides by 1\13:
13y = 26
1\13 * 13y = 26 * 1\13
y=2
You can also multiply both sides by 1\13 (multiplicative inverse of 13) and you will get the same answer !
Divide both sides by 13:
13y = 26
13y/13 = 26/13
y=2
or multiply both sides by 1\13:
13y = 26
1\13 * 13y = 26 * 1\13
y=2
So you can be left with just y. If you have 13y=26, you cannot leave it because it needs to be simplified. If you divide y by 13, you can be left with just y, so you also need to divide 26 by 13. Therefore, y=2 Hope this helps ;)
homechoolitshunk your name sucks because it is unfair that you think of homeschoolers that way............it is like being racist.
so the 13y is just 13 so now alll he has to do is divide 26 by 13
you need to get the variable by itself
Vote up if you think sal is 100 times better than a normal teacher!!!!
and homeschoolers ROCK!!!
B/C you have to isolate the Y.
Because you need to leave the y by itself.
because 13 is the coefficient
technically 13y does not equal 13. the reason for this is because 13y could be 13 yogurts and the regular 13 is not 13 yogurts. 13 is just a number it does not classify anything at all unlike 13y. sorry hope you understand the technicality of this... :)
maybe he thot that it woudle be easyer or fun to divide by 13
this is for the homeschoolshunk post... your name is terrible because you are olbviously mad you are homeschooled. :)
They are both the same thing.
because 13y is the same as 13 times y, and so to get y just divide by thirteen. and of course you can't forget to do the other side to.
To isolate the variable :P
look at you all so smart! ;p
Vote up if you have a sun badge.
i flagged u too
this is not a question i reported u
How do you know or decide which side of the equation to put the variables on?
It depends on what you are comfortable with. I usually put the variables on the left side, just like reading a book: you read from the left to the right. But when you are solving, sometimes you will have negative variables, so I usually add them to both sides, and get the positive variables on the other side and no variables on the previous side. Overall, just do what you normally feel is right. It will not change your answer if you put it on either side. hope this helps! :)
Why isn't there any practice problems ?
Does this site have any problems of this topic at all ?
Because a lot of these videos are just more examples on the topic.
Because their just examples
Who is Alyana F.???
how should i know that
iiiiiiiii dont knooooooooooooow :)
A sexxi beast
is there any other way to solve this equation?
Can't be 100% sure about existing of other ways to solve it, but grouping and factoring method Sal uses here is the most simple and efficient for such linear equation.
We could "move" our variables to the left hand side and, which would result 13y= 26, than divide both side by 13, but that's essentially the same way.
We could "move" our variables to the left hand side and, which would result 13y= 26, than divide both side by 13, but that's essentially the same way.
how do you know this all math? you are awsome and whats your name
His name is Sal Khan.
A.S.R.S WATCH IT MISTER DONT FORGET I CAN REPORT YOU SAL IS MY BRO!
His name is Salman Khan, and some ppl are just born amazing...Einsten, Edison, etc...
you just got flagged a.s.r.s better watch your language next time
his name is Sal
Salman Khan, and by the way, if you hadn't guessed already, I think its awesome! (and famous at least in my family!)
his name is Sal and he knows it because he's awesome :)
i know how, but i seem to keep forgeting how
FUCK YOU EVERY BODY !!!!!!!!!!!!!!!!!!!!!!! HA HA AH !!!!!! BITHES
ur such and idoit ur soo stupid all the questions say sall this sal that! ur such a rere!!!!!!!! u probally have all fs
Salduh
dude watch your freaking langauge A.S.R.S.!
Salman Khan, KHANacademy? Duh!
Does anyone know why he divides by 13 in the end
So then he can get the y value by its self and your answer ends up being y=2
Dividing by 13 makes it easier, if he divided by 26 it would have been a decimal answer.
I thought the anser equaled 3 because when you add on one side you hve to to to the other side
Because since he is multiplying by Y technaclliy, he does the oppisite of multiplying and divides by 26.
The reason he divides by 13 in the end is so he can get the value of y not 13 y. That is just simplifying it all of the way.
Do the variables have to go on the left side ?
No, the variables can go on either side, left or right, but most people like to put it on the left side because it is "easier" to solve for the variable that way.
how do you this problem? y11=4/5(x13)
i dont get how you come up with 2 y insted of 1 y
Why do we have to lern math? Why?
Because math is the universal language of our world.
The question isnt why, its about WHY NOT!
C.Jhonson
Like if you get it.
C.Jhonson
Like if you get it.
because it makes spelling easier (learn not lern)
education is learning what you dont know you dont know... if you didnt know math then you wouldn't be able to do things that require math in a daily bases like shopping,and well you have to count a lot in life if you know what i mean. If you don' realize you use math so much it is just because your so used to it
What a silly question!
WHY are you asking that? (But don't worry, I felt the same before I joined Khan Academy.)
You have to learn math becuase we use it everyday in money and life..
Can't you not do the subtraction and just move numbers with or without variables to the other side? Would that not get you the answer as well? For example, with
20  7y = 6y6, you could move 7y to the other side so that it becomes positive and equals 6y + 7y which also equals 13y. And then you could move 6 to the other side so it also becomes positive and adds up to 26. Then 26 = 13y is simplifiable into 2 = y. Is that not possible as well?
20  7y = 6y6, you could move 7y to the other side so that it becomes positive and equals 6y + 7y which also equals 13y. And then you could move 6 to the other side so it also becomes positive and adds up to 26. Then 26 = 13y is simplifiable into 2 = y. Is that not possible as well?
Abhijeet,
Yes, you can definitely "just move it to the other side and change the sign".
But when you do, what you are really doing is subtracting (or adding) the same thing to both sides, and then using the identity property of addition to make the expression subtracted from itself to become zero and disappear.
It is important to understand the concept of adding or subtracting the same thing from each side which allows the expressions on each side remain equal.
Once you fully comprehend the concept of doing the same thing to each side, you can then skip the intermediate steps and it will look like you just move the expression to the other side while reversing the sign.
Yes, you can definitely "just move it to the other side and change the sign".
But when you do, what you are really doing is subtracting (or adding) the same thing to both sides, and then using the identity property of addition to make the expression subtracted from itself to become zero and disappear.
It is important to understand the concept of adding or subtracting the same thing from each side which allows the expressions on each side remain equal.
Once you fully comprehend the concept of doing the same thing to each side, you can then skip the intermediate steps and it will look like you just move the expression to the other side while reversing the sign.
How do you know which number to take away? For example, when Sal added 6 to the right side. How do you know to do it on that side? I'm really confused on this, please help!
because, 6+6=0.if we add some other to 6 it would give us some other no.
were do i go to practice this?
look it up in google.
yo go to the exercise dash board and type in multistep equations.
Look up on google
Some videos have a green excersise button above them. This one doesn't have one.
It is on the top bar of this website or just go to this link www.khanacademy.org/exercisedashboard
where do I go to practice these problems on Khan Academy?
Go to the knowledge map and look up a section of math and click on you type of math
The videos are already mixed in with the appropriate exercises. Just look to the left of the video.
Here's one that applies to this video:
http://www.khanacademy.org/math/cceighthgrademath/cc8thsolvingequations/cc8thlinearequations/e/linear_equations_3
Here's one that applies to this video:
http://www.khanacademy.org/math/cceighthgrademath/cc8thsolvingequations/cc8thlinearequations/e/linear_equations_3
Cassie is my best friend!lol
Thats great do you have any other friends? LOL
Thank you my teacher couldnt explain dat
u may wanna spell that right "dat" sounds like a gangster speaking :)
how do i solve 24=6(x3)
24=6(x3)
24=6x18 (distributive property)
24=6x18 (isolating the variable)
+18 +18
42=6x (to get (x) by itself)
/6 /6
x=7
24=6x18 (distributive property)
24=6x18 (isolating the variable)
+18 +18
42=6x (to get (x) by itself)
/6 /6
x=7
Well, to get you started, you would use the distributive property and get:
24=6x18
Hope this will help!
Imagineer ;)
24=6x18
Hope this will help!
Imagineer ;)
At 0:22 do you have to add 7y or subtract 6y?
Can't you add 6 to both sides?
Can't you add 6 to both sides?
Yes, you can do either, add 7y to both sides or subtract 6y from both sides, it doesn't matter. If you subtract 6y instead of adding 7y you will get :
207y=6y6
subtract 6y from both
2013y=6
subtract 20 from both sides.
13y=26
divide both sides by 13
y=2
You would not add 6 to both sides, 6y is positive, you do the opposite operation when you move a number to the other side of the equation, you would subtract 6y from both sides.
207y=6y6
subtract 6y from both
2013y=6
subtract 20 from both sides.
13y=26
divide both sides by 13
y=2
You would not add 6 to both sides, 6y is positive, you do the opposite operation when you move a number to the other side of the equation, you would subtract 6y from both sides.
Can you add 6y instead of 7y?
No, adding 6y would not cancel out one of the y's or in other words a y variable would still be on both sides of the equation
It would be 20y=12y6 after adding 6y
It would be 20y=12y6 after adding 6y
yes.....its called transposition
it means that you can take term(6y is a term, so is 6) and move it to the other side of the equation., but you have to do the opposite operation with it.
eg: 207y=6y6
207y6y=6
2013y=6
13y=620
13y=26
y=26/13
y=2
hope that helped
it means that you can take term(6y is a term, so is 6) and move it to the other side of the equation., but you have to do the opposite operation with it.
eg: 207y=6y6
207y6y=6
2013y=6
13y=620
13y=26
y=26/13
y=2
hope that helped
i am still very confused about this topic. why would you go straight to adding 6 to cancel out the negative 6. shouldn't you take away positive six from the twenty to cancel out the negative six?
That's one way of looking at it. But it may not that obvious that what Sal did and what you're suggesting will yield exactly the same result.
For example
Sal did something like this
6y6+6 = 6y
And you're suggesting that it should be
6y6(6) = 6y
Notice that if you multiply the negative sign  with 6 it will yield +6 (since negative x negative= positive)
That's why:
6y6(6) = 6y6+6= 6y
For example
Sal did something like this
6y6+6 = 6y
And you're suggesting that it should be
6y6(6) = 6y
Notice that if you multiply the negative sign  with 6 it will yield +6 (since negative x negative= positive)
That's why:
6y6(6) = 6y6+6= 6y
Solve equation 5m + 9 = 3(m  5) + 7
5m+9=3m15+7
2m+9=8
2m=17
m=17/2
2m+9=8
2m=17
m=17/2
I need help with this equation on my hm it's A=1/2Bh someone please help me.
This is the formula for triangle
why didnt you just leave the equation at 5/3
u would have 2 have a a mixed number 4 that 1 2/3
So you only take away the number that is needed to isolate the variable? I always thought that you take away the number that is next to the variable.
The goal is for the variable to be alone on one side. You want to remove all the other numbers by bringing them to the other side. It is often easiest to do this by starting with simpler functions ( or +).
Why is it better for all the Variables to be on the right hand side instead of the left hand side?
would you like x=4y+2 or 4y+2=x
Please Help?
would you like x=4y+2 or 4y+2=x
Please Help?
When it comes to actually solving the problem, it makes no difference at all. In the end 5=x and x=5 are equivalent statements. It's all based on your preference.
However, many people find it more convenient to put most of the stuff on the right side, with just a single variable on the left. This may be because in most countries around the world, people write from left to right. By putting the larger mess on the right side, you can simplify and equation without having to change a line every time. For example,
x=3y+8(y5)+219y+6(4y3)+82 = 3y+8y40+219y+24y18+82 =26y+45
However, many people find it more convenient to put most of the stuff on the right side, with just a single variable on the left. This may be because in most countries around the world, people write from left to right. By putting the larger mess on the right side, you can simplify and equation without having to change a line every time. For example,
x=3y+8(y5)+219y+6(4y3)+82 = 3y+8y40+219y+24y18+82 =26y+45
Is there a certain side I should put the variable on? like which side would make solving the problem easier for me? (reference, 0:33)
Chole,
You can isolate the variable on either side.
Just choose the side that looks easiest to you.
Ifyour final answer is 17 = x you can always reverse that to x = 17. They both mean the same thing. Equality is commutative.
I hope that helps.
You can isolate the variable on either side.
Just choose the side that looks easiest to you.
Ifyour final answer is 17 = x you can always reverse that to x = 17. They both mean the same thing. Equality is commutative.
I hope that helps.
207y=6y6 will equal 13=y right
I understand this
20  7y = 6y  6
Add 7y to both sides:
20 7y + 7y = 6y + 7y  6
20 = 13y  6
Add 6 to both sides:
20 + 6 = 13y  6 + 6
26 = 13y
Divide both sides by 13:
2 = y
Add 7y to both sides:
20 7y + 7y = 6y + 7y  6
20 = 13y  6
Add 6 to both sides:
20 + 6 = 13y  6 + 6
26 = 13y
Divide both sides by 13:
2 = y
I cant find any Multi step equations 1 that i can actually do. need help
How bout 10y(4x+5)3y
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that isn't an equation ..this is one > 5=2x+14/12+11
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that isn't an equation ..this is one > 5=2x+14/12+11
What is the steps to solve equation that have variable on both sides
Say your expression is: 3x+20=8x10
add ten to both sides: 3x+30=8x
minus 3x from both sides:30=5x
divide both sides by 5: 6=x or x=6
and your equation is solved.
Hope this helps
add ten to both sides: 3x+30=8x
minus 3x from both sides:30=5x
divide both sides by 5: 6=x or x=6
and your equation is solved.
Hope this helps
207y=6y6 Step 1: +7y =+7y Simplify 20=13y6 Step 2: +6=+6
Simplify: 26=13y Step 3: 26/13=13y/13 Simplify and you're done! y=2
IS there another way to do this that was not in this video?
Simplify: 26=13y Step 3: 26/13=13y/13 Simplify and you're done! y=2
IS there another way to do this that was not in this video?
yes.....its called transposition
it means that you can take term(6y is a term, so is 6) and move it to the other side of the equation., but you have to do the opposite operation with it.
eg: 207y=6y6
207y6y=6
2013y=6
13y=620
13y=26
y=26/13
y=2
hope that helped
it means that you can take term(6y is a term, so is 6) and move it to the other side of the equation., but you have to do the opposite operation with it.
eg: 207y=6y6
207y6y=6
2013y=6
13y=620
13y=26
y=26/13
y=2
hope that helped
I think there is many ways but that one is the fastest and easiest.
I mean that long question hurt my brain loser
everybody PLEASE vote me up several times and see how many votes we can get.
i dont wanna
at 0:41 Why was he adding 7y on both the sides?
To change the equation so that there is only one yexpression.
He started with 20  7y = 6y  6
Adding 7y to both sides makes 20  7y + 7y= 6y  6 + 7y
(We know that the two sides are still equal to each other because has done the same thing to both sides.)
Simplifying, he gets 20 = 17y  6
He chose to add 7y to both sides so that the lefthand side became 20, an expression not involving y.
He started with 20  7y = 6y  6
Adding 7y to both sides makes 20  7y + 7y= 6y  6 + 7y
(We know that the two sides are still equal to each other because has done the same thing to both sides.)
Simplifying, he gets 20 = 17y  6
He chose to add 7y to both sides so that the lefthand side became 20, an expression not involving y.
Why would you start adding or subtracting on a certain side instead of the other? I get confused a lot for where i put the distributive variable and/or the symbol ( minus)when adding the opposite or even when you decide to multiply instead of divide or vice versa. Is there a rule for that? Say you have 7y+(6y)+5 =7x+8x4 i'm not sure if that would even work but it is just a example. *if using a certain law can you describe how that law is used with the problem and why you wouldn't use another law?
@modernmarvelz No problem
Thank you for such a great help kingstroker...greatly appreciated..
we dont care at all so go do us a favor and get penut butter
So, let's say your problem has parentheses in it. For example:
8(3a+6)=9(2a4)
I understand you want to isolate the variable, but if you try to divide 9(2a4) by 8, I don't quite understand how that would work. Please help!
8(3a+6)=9(2a4)
I understand you want to isolate the variable, but if you try to divide 9(2a4) by 8, I don't quite understand how that would work. Please help!
I think that dividing will make it a bit more complex than it needs to be, so instead let's distribute what's outside of the parentheses.
8(3a+6)=9(2a4)
Distribute the 8 across the parentheses.
8(3a)+8(6)=9(2a4)
8(3a)=24a, 8(6)=48.
24a+48=9(2a4)
Distribute the 9 across the parentheses.
24a+48=9(2a)9(4)
9(2a)=18a, 9(4)=36.
24a+48=18a+36
Now this problem is a bit more like the one shown in the video.
Subtract each side of the equation by 18a+48.
6a=12
Divide each side of the equation by 6.
a=2
We have our solution!
I hope this example helps you solve linear equations with parentheses in them!
8(3a+6)=9(2a4)
Distribute the 8 across the parentheses.
8(3a)+8(6)=9(2a4)
8(3a)=24a, 8(6)=48.
24a+48=9(2a4)
Distribute the 9 across the parentheses.
24a+48=9(2a)9(4)
9(2a)=18a, 9(4)=36.
24a+48=18a+36
Now this problem is a bit more like the one shown in the video.
Subtract each side of the equation by 18a+48.
6a=12
Divide each side of the equation by 6.
a=2
We have our solution!
I hope this example helps you solve linear equations with parentheses in them!
x or any letter is left, and nonletter is right, right?
Brian,
Technically it doesn't matter. To solve for an unknown the unknown variable could be on the left or on the right, as long as when you are finished it's ISOLATED (or "all by itself"). x=3 is the same thing as 3=x (that's called 'the symmetric property of equality'), so if you happen to isolate the variable on the right, you are allowed to reverse the direction of the equality. And you don't even need to wait until you've isolated everything to do the switch. For example, if you have 23=4x+2 you could write 4x+2=23… that's that same "symmetric property of equality" at work.
Now that said, out of habit most people tend to move the unknown to the left side and everything else to the right side. I think it just sounds better to say "x=3" than to say "3=x," but really all you need to do is isolate the unknown on ONE side. It doesn't specifically have to be the LEFT (although most people do chose to put the letters on the left!).
But in general, your basic approach is correct. You've got to isolate the variable to solve for it.
Technically it doesn't matter. To solve for an unknown the unknown variable could be on the left or on the right, as long as when you are finished it's ISOLATED (or "all by itself"). x=3 is the same thing as 3=x (that's called 'the symmetric property of equality'), so if you happen to isolate the variable on the right, you are allowed to reverse the direction of the equality. And you don't even need to wait until you've isolated everything to do the switch. For example, if you have 23=4x+2 you could write 4x+2=23… that's that same "symmetric property of equality" at work.
Now that said, out of habit most people tend to move the unknown to the left side and everything else to the right side. I think it just sounds better to say "x=3" than to say "3=x," but really all you need to do is isolate the unknown on ONE side. It doesn't specifically have to be the LEFT (although most people do chose to put the letters on the left!).
But in general, your basic approach is correct. You've got to isolate the variable to solve for it.
It can also be a letter can be right side?
Is it possible if you make at least one more vid of these kind of problems, I get it (some what ) but I think one more vid of this with different problems during the vid would do the trick.
Why are they called variables
Those letters are called variables because we don't know their value the value can vary, literally.
They are called variables because we do not know the value of x.
For example x is a variable because we do not know the value of it and it can represent any number,12,13 etc.
For example x is a variable because we do not know the value of it and it can represent any number,12,13 etc.
because there value varies.
because they stand for a number
At 3.37 both answers for y are 2. what if the answer was 2 would it be correct.
no,I don't think so
how do you solve this equation u/5+u/10+u/6=1. i need to solve for u.
Can you please make that equation clearer? is it u/5+u all over 10+u/6 all that equaling 1 or just all dividing?
I get that it's 7 multiplied by y, but I do not get how it is known that they are negative numbers :O
Y do we half to learn this?
how am i able to do a quiz/practice.
simply search for the skill you want to practice in the skill tree and select it, you should be able to answer a few questions as well as watch any related videos
how do you do multistep equations with only one variable? ex: 6(y1)+8=32 how do you do something like this?
You have to isolate the variable.
6(y1)+8=32  Subtract 8 on both sides.
6(y1)=24  Divide by 6 on both sides.
y1=4  Add 1 on both sides.
y=5
6(y1)+8=32  Subtract 8 on both sides.
6(y1)=24  Divide by 6 on both sides.
y1=4  Add 1 on both sides.
y=5
I understood it all until you started talking about how isolating the variable on the left side. now im just confused. Can i just use the instructions from 0:00 to 2:12 and still get the answer?? thank you
what if you have a negative fraction in your equation. do you multiply by the reciprocal ar do you switch sides.
ex:  7/39(w3)=12
this is not a homework question
ex:  7/39(w3)=12
this is not a homework question
does anyone knows one he divided by 13 at the end??
What well this answer be if a had 5x3x12=6
does it matter if the variables are on the right or left
OK thanks that will help me a lot
It doesn't matter which side the variables are on as long as both sides are equal.
Sim means simulation
What do you do when there is a fraction?
How did you get 2?
he got 2 because 26/13 as a simplified fraction is 2/1 or 2 does this help?
how do i do these problems?
You do not answer the problem
How Do You Solve A Equation With Two Variables On One Side?
Example:4x6y+3=0
Example:4x6y+3=0
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