Solve the following system of equations:

$$
\begin{gathered}
a x=b y=c z \\
d x+e y+f z=g
\end{gathered}
$$
$$
y=\frac{a}{b} x, z=\frac{a}{c} x
$$

therefore

$$
d x+e \frac{a}{b} x+f \frac{a}{c} x=g
$$

from which

$$
x=\frac{b c g}{d b c+e a c+f a b}
$$

and thus

$$
y=\frac{a c g}{d b c+e a c+f a b}
$$

and

$$
z=\frac{a b g}{d b c+e a c+f a b}
$$

(Ferenc Grünhut, Budapest.)

Number of solutions: 34.