SOLUTION: Can you please help me solve this problem? I would greatly appreciate your help! <b> Simplify the expression, and show all work</b> 1/x + 1/y/ 1/y - 1/x Thank you!

Algebra ->  Algebra  -> Equations -> SOLUTION: Can you please help me solve this problem? I would greatly appreciate your help! <b> Simplify the expression, and show all work</b> 1/x + 1/y/ 1/y - 1/x Thank you!      Log On

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Question 35438: Can you please help me solve this problem? I would greatly appreciate your help! Simplify the expression, and show all work
1/x + 1/y/ 1/y - 1/x
Thank you!

Answer by Prithwis(166) About Me  (Show Source):
You can put this solution on YOUR website!
1/x + 1/y/ 1/y - 1/x
= 1/y/1/y
= 1
Note: This question makes better sense as (1/x + 1/y)/(1/y - 1/x). Without the parenthesis, the answer would be 1;
Had there been a parenthesis,
(1/x + 1/y)/(1/y - 1/x)
= [(x+y)/xy][xy/(x-y)]
= (x+y)/(x-y)