40 year old needs help with 1 simple problem!!!!!

BVC

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Jan 28, 2011
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(x-y)/y = z Trying to solve for y But I can't remember how to do it!!! Help!
 
BVC said:
(x-y)/y = z Trying to solve for y But I can't remember how to do it!!! Help!

Okay - this one I'll do:

One way of doing this:

\(\displaystyle \frac{x-y}{y} \ = \ z\)

\(\displaystyle \frac{x}{y} - \frac{y}{y}\ = \ z\)

\(\displaystyle \frac{x}{y} - 1 \ = \ z\)

\(\displaystyle \frac{x}{y} \ = \ z \ + \ 1\) .... multiply both sides by y

\(\displaystyle x \ = \ y \cdot (z \ + \ 1)\) ...... divide both sides by (z+1) assuming (z+1) is not equal to 0

\(\displaystyle y \ = \ \frac{x}{z + 1} \\)
 
Thank you very much - I really appreciate your fast response !
 
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