SOLUTION: Find all positive integer values of x and y that satisfy the equation 1 over x+x over y+1 over xy=1.

Question 13903: Find all positive integer values of x and y that satisfy the equation 1 over x+x over y+1 over xy=1.
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
First of all,write in math not English and make clear groupings.
Goal,convert the given relation that y is expressed in terms of x.
= 1.
= 1
or
So,

Hence, .
Since, x& y are a positive integer, x-1 must be a divisor of 2.
We have x-1= 1 or 2.
When x = 2, y = 5.
When x = 3, y = 5 (answer:two solutions)
Check the correctness.
Kenny

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