SOLUTION: if x and y are two different real numbers and xz = yz then what is the value of z? a)x - y b) 1 c) x/y d) y/x e) 0

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Question 209238: if x and y are two different real numbers and xz = yz then what is the value of z?
a)x - y b) 1 c) x/y d) y/x e) 0

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
z has to be equal to 0.
that would be answer (e)
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here's why.
x and y are two different numbers not equal to each other.
xz = yz
subtract yz from both sides of the equation to get:
xz - yz = 0
factor out z to get:
(x-y)*z = 0
this means that:
(x-y) = 0
or:
z = 0
or:
both
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(x-y) can't be 0 because that would mean that x = y which violates the problem statement.
this means that z must = 0
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