$$2 x + y = x 2 x - y = 0$$
$2x+y=xx_{2}-y\text{ and }xx_{2}-y=0$
$\left\{\begin{matrix}x=-\frac{y}{2}\text{, }&x_{2}=-2\\x=0\text{, }&y=0\end{matrix}\right.$
$\left\{\begin{matrix}y=0\text{, }&x=0\\y=-2x\text{, }&x_{2}=-2\end{matrix}\right.$