`xy+3x-7y=21`
`⇒x(y+3)-7y-21=21-21`
`⇒x(y-3)-7(y+3)=0`
`⇒(x-7)(y+3)=0`
`⇒`\(\left[ \begin{array}{l}x-7=0\\y+3=0\end{array} \right.\)
`⇒`\(\left[ \begin{array}{l}x=7\\y=-3\end{array} \right.\)
Vậy \(\left[ \begin{array}{l}x=-3,y∈Z \\y=-3,x∈Z\end{array} \right.\)