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1 solution
Given that x y − ( x + y ) = 0 , then ( x − 1 ) ( y − 1 ) = 1 = { ( − 1 ) ( − 1 ) ( 1 ) ( 1 ) ⟹ ( x , y ) = ( 0 , 0 ) ⟹ ( x , y ) = ( 2 , 2 ) . Therefore, there are 2 solutions.