Ta có: x,y nguyên \(\Leftrightarrow\) x - 2 nguyên, y + 2 nguyên
Từ 2 điều trên \(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-2=0\\y+2=2\end{matrix}\right.\\\left\{{}\begin{matrix}x-2=2\\y+2=0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x=2\\y=0\end{matrix}\right.\\\left\{{}\begin{matrix}x=4\\y=-2\end{matrix}\right.\end{matrix}\right.\)