If \(\dfrac{x}{x+y} = n,\) and \(\dfrac{x}{x-y} = m,\) then \(\dfrac{x}{y}= ?\) (\(|x|\) does not equal \(|y|, xy\) does

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If \(\dfrac{x}{x+y} = n,\) and \(\dfrac{x}{x-y} = m,\) then \(\dfrac{x}{y}= ?\) (\(|x|\) does not equal \(|y|, xy\) does not equal \(0).\)

A. \(\dfrac{3mn}2\)

B. \(\dfrac{3m}{2n}\)

C. \(\dfrac{n\cdot (m+2)}2\)

D. \(\dfrac{2nm}{m-n}\)

E. \(\dfrac{n^2 - m^2}{nm}\)

Answer: D

Source: Manhattan GMAT
Source: — Problem Solving |