Question 134
Solve the system of equations over real numbers:
$$
\begin{cases}
x^3 = 2y^3 + z - 2, \\
y^3 = 2z^3 + x - 2, \\
z^3 = 2x^3 + y - 2.
\end{cases}
$$
$$
\begin{cases}
x^3 = 2y^3 + z - 2, \\
y^3 = 2z^3 + x - 2, \\
z^3 = 2x^3 + y - 2.
\end{cases}
$$