SOLUTION: Given the proportions x+y/y = r/s and x-y/x+y = s/y , what can you conclude?

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Question 940484: Given the proportions x+y/y = r/s and x-y/x+y = s/y , what can you conclude?
Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
x+y/y = r/s and x-y/x+y = s/y
?
?

%28x%2By%29%2Fy=r%2Fs and %28x-y%29%2F%28x%2By%29=s%2Fy
yr=s%28x%2By%29 and x-y=s%28x%2By%29%2Fy
yr=sx%2Bsy and xy-y%5E2=sx%2Bsy

You can equate as ry=xy-y%5E2 which has a factor of y on both sides.
highlight%28r=x-y%29

The question seems open-ended, and another conclusion could also be possible.