\(xy-2x-3y=5\)
\(\Leftrightarrow x\left(y-2\right)-\left(3y-6\right)=11\)
\(\Leftrightarrow x\left(y-2\right)-3\left(y-2\right)=11\)
\(\Leftrightarrow\left(x-3\right)\left(y-2\right)=11\)
\(\Rightarrow\left\{{}\begin{matrix}x-3=1\\y-2=11\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x-3=11\\y-2=1\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x-3=-11\\y-2=-1\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x-3=-1\\y-2=-11\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=4\\y=13\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x=14\\y=3\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x=-8\\y=1\end{matrix}\right.\) hoặc \(\left\{{}\begin{matrix}x=2\\y=-9\end{matrix}\right.\)
