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Course: Algebra 1 > Unit 6

Lesson 4: Equivalent systems of equations

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Reasoning with systems of equations

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Answer two questions about Systems

A

and

B

:

System $A$ ‍	‍	System $B$ ‍
${\begin{cases} - 2 x + 5 y = 10 \\ - 3 x + 9 y = 6 \end{cases}$ ‍		${\begin{cases} - 3 x + 9 y = 6 \\ - 2 x + 5 y = 10 \end{cases}$ ‍

1) How can we get System $B$ ‍ from System $A$ ‍?

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

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Video 8 minutes 36 seconds

Reasoning with systems of equations