SOLUTION: Hello, What is the value of y in this equation {{{ 5/(y+2) - 2y/(4-y^2) = 3/(y-2)}}} I tried answering it and my answer is 4. But when I tried to check it, everything is mess

Algebra ->  Rational-functions -> SOLUTION: Hello, What is the value of y in this equation {{{ 5/(y+2) - 2y/(4-y^2) = 3/(y-2)}}} I tried answering it and my answer is 4. But when I tried to check it, everything is mess      Log On


   

Question 254145: Hello,
What is the value of y in this equation +5%2F%28y%2B2%29+-+2y%2F%284-y%5E2%29+=+3%2F%28y-2%29
I tried answering it and my answer is 4. But when I tried to check it, everything is messed up. Please teach me how.
Thank you and God Bless,
Koleen
Found 2 solutions by Alan3354, JimboP1977:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I can do this, but I don't want to get involved with god.
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+5%2F%28y%2B2%29+-+2y%2F%284-y%5E2%29+=+3%2F%28y-2%29
Get things lined up better to avoid confusion
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+5%2F%282%2By%29+-+2y%2F%284-y%5E2%29+=+-3%2F%282-y%29
Multiply thru by (4-y^2)
5%2A%282-y%29+-+2y+=+-3%2A%28y%2B2%29
10-5y - 2y = -3y-6
10-7y = -3y-6
16 = 4y
y = 4
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Check:
5/6 - 8/(-12) =? 3/2
5/6 + 4/6 = 9/6 = 3/2, so it's correct.

Answer by JimboP1977(311) About Me  (Show Source):
You can put this solution on YOUR website!
I agree with your answer of 4. I would be interested in seeing your working?
Anyone can go on http://www.myalgebra.com/algebra_solver.aspx to find the answer, but using maths to work it out by yourself is the real skill! ;-)