SOLUTION: {{{5/(y+5)-9/(y-5)=10/(y^2-25)}}}

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Question 594748: 5%2F%28y%2B5%29-9%2F%28y-5%29=10%2F%28y%5E2-25%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%28y%2B5%29-9%2F%28y-5%29=10%2F%28y%5E2-25%29
The third denominator is the "difference of squares" factors to:
5%2F%28y%2B5%29-9%2F%28y-5%29=10%2F%28%28y%2B5%29%28y-5%29%29
Multiply by (y+5)(y-5) to clear the denominators, results
5(y-5) -9(y+5) = 10
:
5y - 25 - 9y - 45 = 10
-4y - 70 = 10
-4y = 10 + 70
-4y = 80
y = 80/-4
y = -20
:
:
Check solution in original equation
5%2F%28-20%2B5%29-9%2F%28-20-5%29=10%2F%28-20%5E2-25%29
%28-5%2F15%29+-+%28-9%2F25%29+=+10%2F%28400+-+25%29