Ta có:
`5x-3y=2xy-11`
`<=>2(5x-3y)=2(2xy-11)`
`<=>10x-6y=4xy-22`
`<=>10x-6y-4xy+15=-7`
`<=>(10x-4xy)+(15-6y)=-7`
`<=>2x(5-2y)+3(5-2y)=-7`
`<=>(5-2y)(2x+3)=-7=-1·7=-7·1`
Xét `5-2y=-1=>2x+3=7`
`<=>y=3; x=2`
Xét `5-2y=1=>2x+3=-7`
`<=>y=-3; x=-5`
Xét `5-2y=-7=>2x+3=1`
`<=>y=6; x=-1`
Xét `5-2y=7=>2x+3=-1`
`<=>y=-1; x=-2`
Vậy `(x,y)=(2,3);(-5,-3);(-1,6);(-2,-1)`
