472. Solve the system in integers:

$$
\begin{aligned}
& 2 x+3 y+7 z=131 \\
& 2 x+3 y+8 z=140
\end{aligned}
$$

60

## Schläfli Problems.
472. Immediately find $z=9$ and $2 x+3 y=68$, from which in the usual way: $y=0,2,4, \ldots, 22$. In total, there are 12 solutions.

Schlömilch, Oscar (1823--1901), a well-known German mathematician, whose name is associated with the expression for the remainder term of a Taylor series. Author of the very useful course “Kompendium d. höheren Mathematik” (2 volumes).