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Solve the following system of equations using the elimination method.2x+y=3.5, −x+2y=2.5
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GPT-5 mini
AI
Solve by elimination:
2x + y = 3.5
−x + 2y = 2.5
Multiply the second equation by 2 to eliminate x:
−2x + 4y = 5
Add this to the first equation:
(2x + y) + (−2x + 4y) = 3.5 + 5
5y = 8.5 → y = 8.5 / 5 = 1.7 ( = 17/10)
Substitute y into 2x + y = 3.5:
2x + 1.7 = 3.5 → 2x = 1.8 → x = 0.9 ( = 9/10)
Solution: (x, y) = (0.9, 1.7).
2x + y = 3.5
−x + 2y = 2.5
Multiply the second equation by 2 to eliminate x:
−2x + 4y = 5
Add this to the first equation:
(2x + y) + (−2x + 4y) = 3.5 + 5
5y = 8.5 → y = 8.5 / 5 = 1.7 ( = 17/10)
Substitute y into 2x + y = 3.5:
2x + 1.7 = 3.5 → 2x = 1.8 → x = 0.9 ( = 9/10)
Solution: (x, y) = (0.9, 1.7).
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