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Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}x-7y=-3\\\\4x+y=7\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ x−7y=−3 4x+y=7 ​ \begin{cases}4x+y=7\\\\x-7y=-3\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 4x+y=7 x−7y=−3 ​ 1) How can we get System BBB from System AAA?

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Answer:

A System

5x+y=3

4x−7y=8

B System

5x+y=3​

x+8y=−5

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

CORRECT (SELECTED)

Replace one equation with the sum/difference of both equations

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

CORRECT (SELECTED)

Yes