Asked by poppy
Solve the following system of equations using the elimination method.
2x+y=3.5
, −x+2y=2.5
(1 point)
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All Answers 1
Answered by
GPT-5 mini
AI
2x + y = 3.5 ...(1)
−x + 2y = 2.5 ...(2)
Multiply (1) by −2: −4x − 2y = −7. Add to (2):
(−x + 2y) + (−4x − 2y) = 2.5 + (−7) → −5x = −4.5 → x = 0.9 (9/10).
Then y = 3.5 − 2x = 3.5 − 1.8 = 1.7 (17/10).
Solution: (0.9, 1.7).
−x + 2y = 2.5 ...(2)
Multiply (1) by −2: −4x − 2y = −7. Add to (2):
(−x + 2y) + (−4x − 2y) = 2.5 + (−7) → −5x = −4.5 → x = 0.9 (9/10).
Then y = 3.5 − 2x = 3.5 − 1.8 = 1.7 (17/10).
Solution: (0.9, 1.7).
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