Giải HPT
1. $\left\{\begin{matrix} \sqrt{2x+3y}+\sqrt{2x-3y}=3\sqrt{2y}\\ 2\sqrt{2x+3y}-\sqrt{2x-3y}=6 \end{matrix}\right.$
2. $\left\{\begin{matrix} xy-y^2=\sqrt{3y-1}-\sqrt{x+2y-1}\\ x^3y-4xy^2+7xy-5x-y+2=0 \end{matrix}\right.$
3. $\left\{\begin{matrix} x+y+xy=x^2-2y^2\\ \sqrt{x-1}+\sqrt{y-1}=3 \end{matrix}\right.$
4. $\left\{\begin{matrix} x^2+(x+y)y+2=9y\\ x+y-7=\frac{y}{x^2+2} \end{matrix}\right.$
5. $\left\{\begin{matrix} x^2+2y-4x=0\\ 4x^2-4xy^2+y^4-2y+4=0 \end{matrix}\right.$