If x*y does not equal 0 and (x^2) (y^2) - xy = 6, which of t - The Beat The GMAT Forum

If x*y does not equal 0 and (x^2) (y^2) - xy = 6, which of t

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nh8404052006: Senior | Next Rank: 100 Posts; Posts: 48; Joined: Wed Aug 27, 2008 9:58 am

by nh8404052006 » Sun Dec 14, 2008 2:48 am

If x*y does not equal 0 and (x^2) (y^2) - xy = 6, which of the following could be y in terms of x?

I. 1 / (2x)
II. - 2 / x
III. 3 / x

Please show your work, thank.
OA : III and II

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Source: Beat The GMAT — Problem Solving | Sun Dec 14, 2008 2:48 am

dmateer25: Community Manager; Posts: 1049; Joined: Sun Apr 06, 2008 5:15 pmFollowed by: 27 members; Location: Pittsburgh, PA; Thanked: 113 times; GMAT Score:710

by dmateer25 » Sun Dec 14, 2008 5:24 am

(x^2) (y^2) - xy = 6

(x^2) (y^2) - xy - 6 = 0

(xy - 3)(xy+2) = 0
xy = 3 | xy =-2
x=3/x....|..x = -2/x

II and III

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