The total number of
integer pairs (x,y) satisfying the equation x+y=xy is:

Solution:

(1) 0 (2)
1 (3) 2 (4)
none of these

For Answer
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Solution:

x+y=xy =>
x(1-y) = -y => x = y/(y-1)

In order to
x and y be integers, y should be divisible by (y-1) => two consecutive integers
being non-co-prime, which is possible only when y = 0 (or) 2

For y = 0, x
= 0/(-1) = 0

For y = 2, x = 2/1 = 2

(0,0) and
(2,2) are the only possible pairs.

**Answer (3)**
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