Question 11
Find all nonnegative integer solutions of the system
$$
\begin{aligned}
& 5x + 7y + 5z = 37 \\
& 6x - y - 10z = 3
\end{aligned}
$$
$$
\begin{aligned}
& 5x + 7y + 5z = 37 \\
& 6x - y - 10z = 3
\end{aligned}
$$
Math Olympiad Vault · MathNet 2011