\(2x+3y-xy=8\)
\(\Rightarrow2x+3y-xy-6=2\)
\(\Rightarrow x\left(2-y\right)-3\left(2-y\right)=2\)
\(\Rightarrow\left(x-3\right)\left(2-y\right)=2\)
2x+3y-xy=8
2x+3y-xy-6=2
x(2-y)+3(2-y)=2
(x+3)(2-y)=2
⇒(x−3)(2−y)= 2 . 1=1. 2 = -1 .-2= -2 .-1
⇒(x,y)= {(5;2),(3;0),(2;4),(1;3)}