Question

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

Answer 1

Answer:

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.