a) $\left\{\begin{matrix} (x-1)^{2}+6(x-1)y+4y^{2}=20\\x^{2}+(2y+1)^{2}=2\end{matrix}\right.$
b) $\left\{\begin{matrix}x^{2}+6xy+4^{2}=19+2x+6y\\x^{2}+4y^{2}=1-4y\end{matrix}\right.$
c) $\left\{\begin{matrix}x^{4}-4x^{2}+(y-3)^{2}=0\\x^{2}y+x^{2}+2y-22=0\end{matrix}\right.$
d) $\left\{\begin{matrix} (x-y)^{2}=1-x^{2}y^{2}\\x(xy+y+1)=y(xy+1) \end{matrix}\right.$
e) $\left\{\begin{matrix} x^{2}+y^{2}=5+4x-4y\\3x+xy-y=15 \end{matrix}\right.$
f) $\left\{\begin{matrix} xy-3x-2y=16\\x^{2}+y^{2}-2x-4y=33 \end{matrix}\right.$
g) $\left\{\begin{matrix} x^{2}+y^{2}=2\\2x^{2}+3xy-2y^{2}+3x+y=7 \end{matrix}\right.$