7x-xy +2y=19
⇒x(7-y)=19-2y
Nếu 7-y=0⇒y=7⇒0x=5 (loại)
Chia 2 vế cho 7-y$\neq$0
⇒x=$\frac{19-2y}{7-y}$
⇒x=$\frac{2(7-y)+5}{7-y}$
⇒x=$2+\frac{5}{7-y}$
⇒7-y∈Ư(5)={±1;±5}
7-y=1⇒y=6⇒x=7
7-y=-1⇒y=8⇒x=-3
7-y=5⇒y=2⇒x=3
7-y=-5⇒y=12⇒x=-3
Vậy (x,y)∈{(7;6);(-3;8);(3;2);(-3;12)}