SOLUTION: If x/y=m and xy does not equal zero, then x-y/y is equal to ?

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Question 1040326: If x/y=m and xy does not equal zero, then x-y/y is equal to ?
Found 2 solutions by ikleyn, jim_thompson5910:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
If x/y=m and xy does not equal zero, then x-y/y is equal to ?
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If x%2Fy = m  then  %28x-y%29%2Fy = x%2Fy+-+y%2Fy = x%2Fy-1 = m-1.


Answer.  The value under the question is  m-1.


Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's think in reverse. We want to end up with %28x-y%29%2Fy. Let's break this up and see how we can get to x%2Fy.


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%28x-y%29%2Fy Start with the expression we want to end up with


x%2Fy-y%2Fy Break up the fraction


x%2Fy-1 Simplify


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So hopefully you can see that simply subtracting 1 from x%2Fy will help us get to x%2Fy-y%2Fy which turns into %28x-y%29%2Fy


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So let's apply this to the problem to get


x%2Fy+=+m Given


x%2Fy-1+=+m-1 Subtract 1 from both sides


x%2Fy-y%2Fy+=+m-1 Turn the '1' on the left side into y%2Fy (y is nonzero)


%28x-y%29%2Fy+=+m-1 Combine the fractions


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So %28x-y%29%2Fy is equal to m-1 where it is given that x%2Fy+=+m