SOLUTION: Find all integers x for which there exists an integer y such that 1/x + 1/y = 1/7 (In other words, find all ordered pairs of integers (x,y) that satisfy this equation, then enter

Algebra ->  Expressions -> SOLUTION: Find all integers x for which there exists an integer y such that 1/x + 1/y = 1/7 (In other words, find all ordered pairs of integers (x,y) that satisfy this equation, then enter      Log On


   



Question 1077191: Find all integers x for which there exists an integer y such that
1/x + 1/y = 1/7
(In other words, find all ordered pairs of integers (x,y) that satisfy this equation, then enter just the x's from these pairs.)

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
I get 8, 14, and 56

I rearranged 1%2Fx+%2B+1%2Fy+=+1%2F7+ to +y=7x%2F%28x-7%29 and then looking at the right hand side:
x-7 must divide 7x evenly, which happens for x=8, 14, and 56.