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
1 answer:
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.
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