Question 54
Find all real solutions of the following nonlinear system:
$$
\begin{aligned}
x + 4y + 6z &= 16 \\
x + 6y + 12z &= 24 \\
x^{2} + 4y^{2} + 36z^{2} &= 76
\end{aligned}
$$
$$
\begin{aligned}
x + 4y + 6z &= 16 \\
x + 6y + 12z &= 24 \\
x^{2} + 4y^{2} + 36z^{2} &= 76
\end{aligned}
$$