Linear equation in 2 variables equaling zero
Level
2
How many pairs of integer solutions are there for the equation xy - 3x + 5y=0
9
Not possible
3
6
8
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1 solution
x y − 3 x + 5 y − 1 5 = − 1 5 ; ( x + 5 ) ( y − 3 ) = − 1 5 , so ( x + 5 , y − 3 ) = ( 1 5 , − 1 ) , ( 5 , − 3 ) , ( 3 , − 5 ) , ( 1 , − 1 5 ) , ( − 1 , 1 5 ) , ( − 3 , 5 ) , ( − 5 , 3 ) , ( − 1 5 , 1 ) , hence there are 8 solutions.