a
$\dpi{120} $$\begin{cases} x+y+x^2+y^2=8 & \color{red}{(1)} \\ xy(x+1(y+1)=12 & \color{red}{(2)} \\ \end{cases} $$$
b
$$\begin{cases}
\sqrt{7x+y}+\sqrt{2x-y} = 3 & \color{red}{(1)} \\
\sqrt{2x-y}+5x+y=7 & \color{red}{(2)} \\
\end{cases} $$