SOLUTION: If 2x=3y , what is (x+y)/(x-y) equal to?

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Question 969746: If 2x=3y , what is (x+y)/(x-y) equal to?
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If 2x=3y ,then x=3y%2F2
so,substitute it in %28x%2By%29%2F%28x-y%29+
%28x%2By%29%2F%28x-y%29=+%283y%2F2%2By%29%2F%283y%2F2-y%29
%28x%2By%29%2F%28x-y%29=+%283y%2F2%2B2y%2F2%29%2F%283y%2F2-2y%2F2%29
%28x%2By%29%2F%28x-y%29=+%285y%2F2%29%2F%28y%2F2%29

%28x%2By%29%2F%28x-y%29=+5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If 2x=3y , what is (x+y)/(x-y) equal to?
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x = (3/2)y
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(x+y)/(x-y) = (x+y)^2/(x^2-y^2)
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= [(3/2)y+y]^2 / [(3y/2)^2-y^2]
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= [(5/2)y]^2/[(5/4)y^2]
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= [(25/4)y^2]/[(5/4)y^2]
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= 5
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Cheers,
Stan H.
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