SOLUTION: If {{{ 1/x-1/y=1/z }}}, find a simplified expression for y.

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Question 1105539: If +1%2Fx-1%2Fy=1%2Fz+, find a simplified expression for y.
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
1/x-1/y=1/z ; multiply by xyz
yz-xz=xy
put the y containing terms on the same side
yz-xy=xz
factor out the y
y(z-x)=xz
y=(xz)/(z-x)
if x=2, y=3 then z=6
3=12/4, checks.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If +1%2Fx-1%2Fy=1%2Fz+, find a simplified expression for y.
1%2Fy+=+1%2Fx+-+1%2Fz+=+%28z-x%29%2Fxz
y+=+xz%2F%28z-x%29