z=0?

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crackgmat007: Legendary Member; Posts: 882; Joined: Fri Feb 20, 2009 2:57 pm; Thanked: 15 times; Followed by:1 members; GMAT Score:690

by crackgmat007 » Mon May 18, 2009 11:47 am

Can someone explain the answer pls? Tx.

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Source: Beat The GMAT — Problem Solving | Mon May 18, 2009 11:47 am

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Mon May 18, 2009 11:56 am

xy + z = xy + xz

xy - xy = xz - z

0 = z(x-1)

therefore z can be equal to 0 or x can be equal to 1

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