Question 119
If $(x, y)$ is a system solution $$
\left\{\begin{array}{l}
x y=6 \\
x^{2} y+x y^{2}+x+y=63
\end{array}\right.
$$ Determine the value of $x^{2}+y^{2}$.
\left\{\begin{array}{l}
x y=6 \\
x^{2} y+x y^{2}+x+y=63
\end{array}\right.
$$ Determine the value of $x^{2}+y^{2}$.