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What is the result of adding these two equations? \begin{aligned} -2x+7y &= -5 \\\\ -2x-4y &= 6 \end{aligned} −2x+7y

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## Answers ( )

{-2x + 7y = -5

{-2x – 4y = 6 | · (-1)

{-2x + 7y = -5

{2x + 4y = -6 (+)

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-2x + 2x + 7y + 4y = -5 + (-6)

11y = -11 | : 11

y = -1

{y = -1

{2x + 4y = -6

{y = -1

{2x + 4 · (-1) = -6

{y = -1

{2x – 4 = -6 | + 4

{y = -1

{2x = -2 | : 2

{y = -1{x = -1