Solving formulas involving Rational expressions
for each excersise, solve for the indicated variable
(x-y)/xy = z
Solve for x
The Attempt at a Solution
I started by multiplying both sides by xy, to which I got
(x-y) = xyz
Then I tried multiplying both sides by yz
(x-y)/yz = x
And from there I just get stuck, I have tried everything I can think of, and I keep losing variables... I have done a bunch of other problems of the same type... and for some reason this one (the last one) has had me stuck for the past 45 minutes.
Also, according to the back of the book, the answer is
x = y/1-yz or x = -y/yz-1
and even having the answers I can't figure out how to get there...
Thank everyone for any help, I feel like I'm going to smack myself when I finally do figure it out.