x + y = 4 2x + 3y = 0 A. x = - 6, y = 2 B. x = - 1, y = 5 C. x = 11 5, y = 9 5 D. x = 12, y = - 8

D. x = 12, y = - 8.

Step-by-step explanation:

x + y = 4 ... (1)

2x + 3y = 0 ... (2)

Multiply equation (1) by - 2:

-2x - 2y = - 8 ... (3)

Add (2) + (3):

y = - 8

Substitute y = - 8 into equation (2):

2x + 3 (-8) = 0

2x - 24 = 0

2x = 24

x = 12.

Check the results in equation (1).

x + y = 4

12 + - 8 = 4

They check out OK.