2x+y=-2

x+y=5

the y coordinate of the solution to the system shown is___?

A. 12

B. - 12

C. - 7

D. 7

A

given the 2 equations

2x + y = - 2 → (1)

x + y = 5 → (2)

subtract (2) from (1) term by term to eliminate y

(2x - x) + (y - y) = ( - 2 - 5)

x + 0 = - 7 ⇒ x = - 7

substitute x = - 7 in either of the 2 equations and solve for y

(2) : - 7 + y = 5 (add 7 to both sides)

y = 5 + 7 = 12 → A