SOLUTION: How do I simplify this problem? (x/y – y/x) / ( 1/y – 1/x)

Algebra ->  Equations -> SOLUTION: How do I simplify this problem? (x/y – y/x) / ( 1/y – 1/x)      Log On


   



Question 308469: How do I simplify this problem?
(x/y – y/x) / ( 1/y – 1/x)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Mutliply top and bottom by xy.

+%28x%2Fy-y%2Fx%29%2F%281%2Fy-1%2Fx%29=+%28x%5E2-y%5E2%29%2F%28x-y%29
+%28x%2Fy-y%2Fx%29%2F%281%2Fy-1%2Fx%29=+%28%28x%2By%29%28x-y%29%29%2F%28x-y%29
+%28x%2Fy-y%2Fx%29%2F%281%2Fy-1%2Fx%29=+%28%28x%2By%29cross%28x-y%29%29%2Fcross%28x-y%29
+%28x%2Fy-y%2Fx%29%2F%281%2Fy-1%2Fx%29=+x%2By