Solve each system by the addition method.

-4x+7y = 9

2y=-5x-22

Put the answer in (x, y) form

-4x + 7y = 9 ⇒ - 4x + 7y = 9 ⇒ 8x - 14y = - 18

2y = - 5x - 22 ⇒ - 5x - 2y = 22 ⇒ - 35x - 14y = 154

43x = - 172

43 43

x = - 4

-4x + 7y = 9

-4 (-4) + 7y = 9

16 + 7y = 9

- 16 - 16

7y = - 7

7 7

y = - 1

(x, y) = (-4, - 1)