SOLUTION: Find the ratio of x to y: z/-6=x+y/x-y

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Question 369941: Find the ratio of x to y:
z/-6=x+y/x-y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28z%29%2F%28-6%29=%28x%2By%29%2F%28x-y%29 Start with the given equation.


z%28x-y%29=-6%28x%2By%29 Cross multiply


zx-zy=-6x-6y Distribute.


zx-zy%2B6x=-6y Add 6x to both sides.


zx%2B6x=-6y%2Bzy Add zy to both sides.


x%28z%2B6%29=y%28-6%2Bz%29 Factor out the GCF 'x' from the left side. Factor out the GCF 'y' from the right side.


%28x%28z%2B6%29%29%2Fy=-6%2Bz Divide both sides by 'y'.


x%2Fy=%28-6%2Bz%29%2F%28z%2B6%29 Divide both sides by z%2B6.


x%2Fy=%28z-6%29%2F%28z%2B6%29 Rearrange the terms.


So the ratio of x to y is %28z-6%29%2F%28z%2B6%29


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Jim