SOLUTION: How many ordered pairs (x,y) of integers satisfy… (1/X)+(1/Y)=(1/2)

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Question 98726: How many ordered pairs (x,y) of
integers satisfy…
(1/X)+(1/Y)=(1/2)
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1/x + 1/y = 1/2
xy/x + xy/y = xy/2
y - xy/2 + x = 0
y(1 - x/2) + x = 0
y(2 - x)/2 = -x
y = -2x/(2 - x)
Infinite ordered pairs ... excluding x = 2 and x = 0
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-2x%2F%282+-+x%29%29