Question 188
In the domain of non-negative real numbers solve the system of equations
$$
\begin{align*}
\lfloor 3x + 5y + 7z \rfloor &= 7z, \\
\lfloor 3y + 5z + 7x \rfloor &= 7x, \\
\lfloor 3z + 5x + 7y \rfloor &= 7y.
\end{align*}
$$
$$
\begin{align*}
\lfloor 3x + 5y + 7z \rfloor &= 7z, \\
\lfloor 3y + 5z + 7x \rfloor &= 7x, \\
\lfloor 3z + 5x + 7y \rfloor &= 7y.
\end{align*}
$$