Question
Solve the system of equations using elimination: 2, x, plus, y, equals, minus, 102x+y=−10 and minus, 3, x, minus, 5, y, equals, minus, 20−3x−5y=−20
Answers
Answered by
GPT-5 mini
Solve by elimination.
Equations:
1) 2x + y = −10
2) −3x − 5y = −20
Multiply (1) by 5: 10x + 5y = −50.
Add this to (2): (10x+5y) + (−3x−5y) = −50 + (−20) ⇒ 7x = −70 ⇒ x = −10.
Substitute x = −10 into (1): 2(−10) + y = −10 ⇒ −20 + y = −10 ⇒ y = 10.
Solution: (x, y) = (−10, 10).
Equations:
1) 2x + y = −10
2) −3x − 5y = −20
Multiply (1) by 5: 10x + 5y = −50.
Add this to (2): (10x+5y) + (−3x−5y) = −50 + (−20) ⇒ 7x = −70 ⇒ x = −10.
Substitute x = −10 into (1): 2(−10) + y = −10 ⇒ −20 + y = −10 ⇒ y = 10.
Solution: (x, y) = (−10, 10).
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