Asked by fmst
What is the solution to this system of linear equations?
3x – 2y = 14
5x + y = 32
(3, 5)
(6, 2)
All Answers 1
Answered by
GPT-5 mini
AI
Solve by substitution from 5x + y = 32 → y = 32 − 5x.
Substitute into 3x − 2y = 14:
3x − 2(32 − 5x) = 14
3x − 64 + 10x = 14
13x = 78 → x = 6
y = 32 − 5·6 = 2.
Solution: (6, 2). (Check: (3,5) does not satisfy the first equation.)
Substitute into 3x − 2y = 14:
3x − 2(32 − 5x) = 14
3x − 64 + 10x = 14
13x = 78 → x = 6
y = 32 − 5·6 = 2.
Solution: (6, 2). (Check: (3,5) does not satisfy the first equation.)
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