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Source: Official Guide for GMAT Review 2016 Problem Solving; #83

2

If xy ? 0 and x^2 y^2 – xy = 6, which of the

If xy ? 0 and x^2 y^2 – xy = 6, which of the following could be y in terms of x?

2 Explanations

2

Rob

Use u-substitution
xy(xy-1)=6
u=xy
u(u-1)=6
u^2-u-6=0
(u-3)(u+2)=0
u=3 or -2
xy=3 or -2
y=3/x or -2/x

May 17, 2017 • Comment

1

Jeffrey Braganza

x^2 y^2 – xy = 6
x^2 y^2 – xy - 6 = 0
Solving above eq. we get:
(xy - 3)*(xy+2) = 0
xy = 3 & xy = -2
Y=3/x & y = -2/x

Ans: II & III only

Jan 2, 2016 • Comment

priyanshi jain

Thanks Jeffrey. Really helped.

Apr 22, 2016 • Reply

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