1.$\left\{\begin{matrix} \sqrt{2x^{2}+y-1}-x^{4}y^{2}+6x^{2}y=9 & & \\ \sqrt{x^{2}y-3}+4x^{2}(1-x^{2}-y)+2y-y^{2}=1 & & \end{matrix}\right.$
2.$\left\{\begin{matrix} 6\sqrt{5+x^{2}-2x}+3\sqrt{2x-x^{2}}=0 & & \\ x^{4}y^{4}-2x^{2}y^{2}-x+18=0 & & \end{matrix}\right.$
3.$\left\{\begin{matrix} \sqrt{4x+10y}-\sqrt{2x+2y}=4 & & \\x+2y+\frac{2\sqrt{2x^{2}+7xy+5y^{2}} }{3}=24 & & \end{matrix}\right.$
4.$\left\{\begin{matrix} x^{2}-1+2\sqrt[3]{x^{2}-1}-\sqrt[3]{y^{2}}=0 & & \\ (x+y)^{2}+1=2(1+xy)-(\sqrt[3]{x^{2}-1}+\sqrt[3]{y^{2}}) & & \end{matrix}\right.$
5.$\left\{\begin{matrix} \sqrt{(\frac{x}{y})^{3}}+\frac{x}{y}+x\sqrt{\frac{x}{y}}+x=4 & & \\ \sqrt{\frac{x}{y}}=\frac{2}{y+1} & & \end{matrix}\right.$
6.$\left\{\begin{matrix} x+\sqrt{x^{2}-x}-\sqrt{y}+\sqrt{xy-y}+\sqrt{xy}=\sqrt{x} & & \\(2x-1+\frac{y}{x}+2\sqrt{x^{2}-x})(\sqrt{x}-\sqrt{\frac{y}{x}}+\sqrt{x-1})=1 & & \end{matrix}\right.$
7.$\left\{\begin{matrix} \frac{3}{\sqrt[3]{2x+y}}+\frac{2}{\sqrt[3]{3x+8y}}=4 & & \\ (x+7y)^{2}-(5x+2y)^{3}=41 & & \end{matrix}\right.$
8.$\left\{\begin{matrix} \frac{\sqrt{x^{3}+x^{2}y^{2}}}{xy^{2}}-\frac{\sqrt{x}}{y^{2}}+\frac{1}{2\sqrt{x+y^{2}}-\sqrt{x}}=2 & & \\ 3\sqrt{x+y^{2}}-2\sqrt{x+2y^{2}+\sqrt{x^{2}+xy^{2}}}=0 & & \end{matrix}\right.$
9.$\left\{\begin{matrix} (x+1)(xy-y^{2}+y-1)=3y & & \\ y^{2}(2x-y)(2x-y-4)+(2y+1)^{2}=4xy-2y^{2} & & \end{matrix}\right.$