Ta có: (x+3)(y-5)=-25
Mà -25=5.(-5)
⇒ (x+3)(y-5)=5.(-5)=-5.5
Nếu
$\left \{ {{x+3=5} \atop {y-5=-5}} \right.$
⇒ $\left \{ {{x=2} \atop {y=0}} \right.$
Nếu:
$\left \{ {{x+3=-5} \atop {y-5=5}} \right.$
⇒ $\left \{ {{x=-8} \atop {y=10}} \right.$
Vậy ta (x,y) = (2,0); (-8,10)