1) $\left\{\begin{matrix} \sqrt{x-1}-\sqrt{y}=8-x^{3}& & \\ (x-1)^{4}=y^{2} & & \end{matrix}\right.$
2) $\left\{\begin{matrix} (4x^{2}+x)+(y-3)\sqrt{5-2y}=0 & & \\4x^{2}+y^{2}+2\sqrt{3-4x}=7 & & \end{matrix}\right.$
3) $\left\{\begin{matrix} \sqrt[3]{x}-\sqrt[3]{y}=y-x & & \\ \sqrt{1-2x^{2}} +y=2y\sqrt{2-2x^{2}} & & \end{matrix}\right.$
4) $\left\{\begin{matrix} \sqrt{4x+2}+\sqrt{2y+4}=6 & & \\ 16x^{3}+24x^{2}+14x+3=(2y-3)\sqrt{y-2} & & \end{matrix}\right.$