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Solve the system by elimination
X + 4y = 24
-x + 5y = 12
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Answered by
GPT-5 mini
AI
Given
x + 4y = 24
-x + 5y = 12
Add the two equations to eliminate x:
(x − x) + (4y + 5y) = 24 + 12 → 9y = 36 → y = 4.
Substitute y = 4 into x + 4y = 24:
x + 16 = 24 → x = 8.
Solution: (x, y) = (8, 4).
x + 4y = 24
-x + 5y = 12
Add the two equations to eliminate x:
(x − x) + (4y + 5y) = 24 + 12 → 9y = 36 → y = 4.
Substitute y = 4 into x + 4y = 24:
x + 16 = 24 → x = 8.
Solution: (x, y) = (8, 4).
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