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

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xz= xy But what happens when x=0 are we allowed to cancel? [#permalink] New post 30 Jul 2003, 16:07
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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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Re: DS: Can we cancel here? [#permalink] New post 30 Jul 2003, 17:18
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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Re: DS: Can we cancel here? [#permalink] New post 31 Jul 2003, 04:19
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
Re: DS: Can we cancel here?   [#permalink] 31 Jul 2003, 04:19
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xz= xy But what happens when x=0 are we allowed to cancel?

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