SOLUTION: Please help me solve for x for this equation: {{{ z=(x*y)/(x+a) }}}.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve for x for this equation: {{{ z=(x*y)/(x+a) }}}.       Log On


   

Question 69092: Please help me solve for x for this equation: +z=%28x%2Ay%29%2F%28x%2Ba%29+.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%2Ba%29%2Az=cross%28x%2Ba%29%2A%28%28x%2Ay%29%2Fcross%28x%2Ba%29%29+Multiply both sides by (x+a)
zx%2Bza=xyDistribute
za=xy-zxGet all terms involving x to one side
za=x%28y-z%29Factor out an x
%28za%29%2F%28y-z%29=%28x%2Across%28y-z%29%29%2Fcross%28y-z%29Divide both sides by (y-z) to isolate x
x=%28za%29%2F%28y-z%29