Question 16
Determine all real numbers $x, y, z$ satisfying the following system of equations:
$$
\begin{cases}
x = \sqrt{2y + 3} \\
y = \sqrt{2z + 3} \\
z = \sqrt{2x + 3}
\end{cases}
$$
$$
\begin{cases}
x = \sqrt{2y + 3} \\
y = \sqrt{2z + 3} \\
z = \sqrt{2x + 3}
\end{cases}
$$