1.$\left\{\begin{matrix} \sqrt{3x} +\sqrt{3y}=6& & \\ \sqrt{3x+7}+\sqrt{3y+7}=8 & & \end{matrix}\right.$
2.$\left\{\begin{matrix} \sqrt{x+1}+\sqrt{y-1}=4 & & \\ \sqrt{x+6}+\sqrt{y+4}=6 & & \end{matrix}\right.$
3.$\left\{\begin{matrix} \sqrt{x}+\sqrt{y}=10 & & \\ \sqrt{x+24}+\sqrt{y+24}=14 & & \end{matrix}\right.$
4.$\left\{\begin{matrix} (2x+3)\sqrt{4x-1}+(2y+3)\sqrt{4y-1}=2\sqrt{(2y+3)(2x+3)} & & \\ x+y=4xy & & \end{matrix}\right.$
5.$\left\{\begin{matrix} x+2y-3z=4 & & \\ \sqrt{4-x^{2}}+\sqrt{1-4y^{2}}+\sqrt{25-9z^{2}}=4\sqrt{3} & & \end{matrix}\right.$
5.$7x^{2}+7x=\sqrt{\frac{4x+9}{28}}$
7.$2x^{2}+4x=\sqrt{\frac{x+3}{2}}$
8$27x^{2}+18x=\sqrt{x+\frac{4}{3}}$.