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xz= xy But what happens when x=0 are we allowed to cancel?

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Eternal Intern
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Joined: 07 Jun 2003
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xz= xy But what happens when x=0 are we allowed to cancel? [#permalink]

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New post 30 Jul 2003, 17:07
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xz= xy

But what happens when x=0 are we allowed to cancel?

This might arise on test day.

VT
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Ride em cowboy

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Re: DS: Can we cancel here? [#permalink]

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New post 30 Jul 2003, 18:18
Curly05 wrote:
xz= xy

But what happens when x=0 are we allowed to cancel?

This might arise on test day.

VT


You cannot divide by zero. Hence if x = 0, you cannot cancel.
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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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Re: DS: Can we cancel here? [#permalink]

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New post 31 Jul 2003, 05:19
Curly05 wrote:
xz= xy

But what happens when x=0 are we allowed to cancel?

This might arise on test day.

VT


Curly, look at it this way:

xz = xy implies xz-xy=0

or x*(z-y) = 0 which means that either x=0 or z-y=0

Therefore, z=y is the unique solution only for non-zero values of x. Therefore, you cannot simply cancel x on both sides in your equation

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Re: DS: Can we cancel here?   [#permalink] 31 Jul 2003, 05:19
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xz= xy But what happens when x=0 are we allowed to cancel?

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