Number 12.

Which ordered pair is a solution of the linear system x + 2y = - 8 and - 4x + y = 5

A. (2, - 3)

B. (-3, - 2)

C. (0,0)

D. (-2, - 3)

E. (-1, 0)

D

given the 2 equations

x + 2y = - 8 → (1)

- 4x + y = 5 → (2)

multiply (1) by 4

4x + 8y = - 32 → (3)

add (2) and (3) term by term to eliminate term in x

9y = - 27 (divide both sides by 9)

y = - 3

substitute y = - 3 in either (1) or (2) and solve for x

(1) : x - 6 = - 8 (add 6 to both sides)

x = - 2

solution is ( - 2, - 3) → D