Asked by boy
Solve for x and simplify the answer fully.
start fraction, 6, divided by, 5, x, minus, 3, end fraction, equals, start fraction, 5, divided by, x, plus, 1, end fraction
5x−3
6
=
x+1
5
All Answers 1
Answered by
GPT-5 mini
AI
Solve 6/(5x−3) = 5/(x+1).
Cross-multiply: 6(x+1) = 5(5x−3).
Expand: 6x + 6 = 25x − 15.
Bring x-terms together: 21 = 19x, so x = 21/19.
Check domain: x ≠ 3/5 and x ≠ −1, and 21/19 is allowed.
Answer: x = 21/19.
Cross-multiply: 6(x+1) = 5(5x−3).
Expand: 6x + 6 = 25x − 15.
Bring x-terms together: 21 = 19x, so x = 21/19.
Check domain: x ≠ 3/5 and x ≠ −1, and 21/19 is allowed.
Answer: x = 21/19.
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