1.$\left\{\begin{matrix} 2x^{4}-2x^{2}y+2x^{2}+x^{2}y^{2}=33 & & \\ x^{4}-y^{2}+2y=6 & & \end{matrix}\right.$
2.$\left\{\begin{matrix} 6x^{2}+6xy-9x+1=0 & & \\84x^{4}+12x^{2}y-12x^{3}y^{2}-21x^{2}+1=0 & & \end{matrix}\right.$
3.$\left\{\begin{matrix} x^{3}+x^{2} (y-2)-2=0& & \\x(x+y)+y^{2}-4y+1=0 & & \end{matrix}\right.$
4.$\left\{\begin{matrix} (xy+x^{2})^{2}+(x+y)^{2}=8y^{2}+x^{3}y-1 & & \\ x^{6}+1+x^{3}y^{3}+3xy(xy+1)=9y^{3} & & \end{matrix}\right.$
5.$\left\{\begin{matrix} (1-y)(4x-1)+xy+3x^{2}-2y^{2}=4 & & \\13x^{2}+3y^{2}-11xy=7 & & \end{matrix}\right.$
6.$\left\{\begin{matrix} \frac{1}{y}+2x=\frac{6}{y^{2}} & & \\ \frac{2y^{4}}{x}+\frac{5y^{2}}{x}-\frac{1}{x}=4y(xy+1) & & \end{matrix}\right.$
7.$\left\{\begin{matrix} 3xy\sqrt{xy}-(3x-2y)^{3}=2 & & \\3x(\sqrt{xy}+3x)+2y(2y-\sqrt{xy})=\frac{2}{\sqrt{xy}}+12xy & & \end{matrix}\right.$
8.$\left\{\begin{matrix} 6x+3y=4xy^{2}(1+x)+3y^{2} & & \\12xy(x+y)+(y-1)^{3}+y(2y+3)(y-1)=0 & & \end{matrix}\right.$
9.$\left\{\begin{matrix} x+\frac{1}{y}+\sqrt{x}+\frac{1}{y\sqrt{x}}-\frac{1}{\sqrt{x}}=-1 & & \\xy(x+1)+\frac{1}{y}+2x=y & & \end{matrix}\right.$
10.$\left\{\begin{matrix} (x+1)^{2}(x^{2}+y)+(x+1)(\frac{x+1}{y+1}-2)+1=0 & & \\(y+1)^{2}(y^{2}+x)+(y+1)(\frac{y+1}{x+1}-2)+1=0 & & \end{matrix}\right.$
11.$\left\{\begin{matrix} (x^{2}-y)^{2}(y-2)+x^{2}y-y^{2}-2x^{2}+y=1 & & \\x^{2}-2y+2=0 & & \end{matrix}\right.$
Solved
