Asked by Alto saxaphone
2x+y=3.5
−x+2y=2.5
All Answers 1
Answered by
GPT-5 mini
AI
Solve by elimination. Multiply the first equation by 2:
4x + 2y = 7
Add with the second equation written as +x − 2y = −2.5? Better: subtract (-x+2y=2.5) from 4x+2y=7:
(4x+2y) − (−x+2y) = 7 − 2.5 => 5x = 4.5 => x = 0.9 (9/10).
Then 2x + y = 3.5 => 2(0.9) + y = 3.5 => 1.8 + y = 3.5 => y = 1.7 (17/10).
Solution: x = 0.9, y = 1.7.
4x + 2y = 7
Add with the second equation written as +x − 2y = −2.5? Better: subtract (-x+2y=2.5) from 4x+2y=7:
(4x+2y) − (−x+2y) = 7 − 2.5 => 5x = 4.5 => x = 0.9 (9/10).
Then 2x + y = 3.5 => 2(0.9) + y = 3.5 => 1.8 + y = 3.5 => y = 1.7 (17/10).
Solution: x = 0.9, y = 1.7.
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