Problem: 8x+y=-16 and -3x+y=-5
1) 8x + y = -16
2) -3x + y = -5
Subtract equation 2 from equation 1.
8x + y = -16
-(-3x + y = -5)
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11x = -11
11x = -11
x = -1
Solve for y.
8x + y = -16
8(-1) + y = -16
-8 + y = -16
-8 + y + 8 = -16 + 8
y = -8
Check.
-3x + y = -5
-3(-1) + (-8) = -5
3 - 8 = -5
-5 = -5
Answer: x = -1, y = -8