Very quick algebraic manipulation help

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SUMMARY

The discussion focuses on solving the algebraic equation \(\frac{X+Y}{X-Y}*Z_{0} = Z_{L}\) for the variable Y. The solution involves multiplying both sides by (X - Y) and rearranging the equation to isolate Y. The participant initially struggled with the algebraic manipulation but received guidance on the correct approach, leading to a successful resolution of the problem.

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dalarev
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Homework Statement



x and y are actually variables for another problem I have, but that doesn't matter. Given:

[tex]\frac{X+Y}{X-Y}[/tex]*[tex]Z_{0}[/tex] = [tex]Z_{L}[/tex]


The Attempt at a Solution



I'm trying to solve for Y here. I have the answer, it's part of my notes, but I can't work out the algebra to derive it.
 
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Hi dalarev! :wink:

Just multiply both sides by (X - Y), and then put all the Y terms on one side, and all the other terms on the other side. :smile:
 
tiny-tim said:
Hi dalarev! :wink:

Just multiply both sides by (X - Y), and then put all the Y terms on one side, and all the other terms on the other side. :smile:

Doh! :facepalm:

I tried to do it in my head and forgot the expand the factors I get on each side. Geez..


Thanks for the quick response, /thread.
 

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