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GMAT Problem Solving (PS) | Re: If (x + y)/(x − y) = 1/2, then (xy + x^2)/(xy − x^2) =

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Bunuel wrote:

If \(\frac{x + y}{x − y} = \frac{1}{2}\), then \(\frac{xy + x^2}{xy − x^2}=\)

(A) –4.2

(B) –1/2

(C) 1.1

(D) 3

(E) 5.3


Taking x as common from the fraction; \(\frac{xy + x^2}{xy − x^2}\)
\(\frac{x(y + x)}{x(y - x)}\)
Cancelling out "x" we get =\(\frac{x+y}{-(x-y)}\)

Given;\(\frac{x + y}{x − y} = \frac{1}{2}\)
Therefore ;\(\frac{x+y}{-(x-y)}\) = -\(\frac{1}{2}\)
Answer B...

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