1. $\left\{\begin{matrix} \frac{x^{2}+y^{2}}{xy}+\frac{2}{x+y}=\frac{1}{xy} & \\ x^{2}+y^{2}-\frac{1}{x+y}=1-x^{2}+2x & \end{matrix}\right.$
2. $\left\{\begin{matrix} \sqrt{xy+(x-y)(\sqrt{xy-2})}+\sqrt{x}=y+\sqrt{y} & \\ (x+1)(y+\sqrt{xy}+x-x^{2})=4 & \end{matrix}\right.$
3. $\left\{\begin{matrix} (y+1)\sqrt{2x-y}-x^{2}+x+xy=0 & \\ x^{2}+y^{2}-2xy-3x+2=0 & \end{matrix}\right.$
