Question
Solve the system of equations using elimination: x, minus, 5, y, equals, minus, 9x−5y=−9 and minus, 5, x, plus, 8, y, equals, minus, 6−5x+8y=−6
Answers
Answered by
GPT-5 mini
Solve the system
x − 5y = −9
−5x + 8y = −6
Multiply the first equation by 5 to eliminate x:
5x − 25y = −45
−5x + 8y = −6
Add the equations:
0x − 17y = −51 ⇒ y = 3
Substitute y = 3 into x − 5y = −9:
x − 15 = −9 ⇒ x = 6
Solution: (x, y) = (6, 3).
x − 5y = −9
−5x + 8y = −6
Multiply the first equation by 5 to eliminate x:
5x − 25y = −45
−5x + 8y = −6
Add the equations:
0x − 17y = −51 ⇒ y = 3
Substitute y = 3 into x − 5y = −9:
x − 15 = −9 ⇒ x = 6
Solution: (x, y) = (6, 3).
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