Question 1037062
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Xy=2x-y. (x,y are integer)solve for x,y  
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There are only two solutions (two pairs of solutions) for integer x and y.

They are:

1)  x = 0, y = 0, 

and

2)  x = 1,  y = 1.

There are no other integer solutions.

For the proof, express y via x in the form y = {{{(2x)/(x+1)}}} and note that the right side is less than 2 at x >= 2.
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