58. Planes are given by the equations:

$$
\begin{aligned}
& 3 x+4 y-2 z=5 \\
& 2 x+3 y-z=3
\end{aligned}
$$

Write in standard form (see problems 42,43) the system of equations that defines the line of intersection of these planes.
58. The sought line is simultaneously parallel to two planes. Based on the conclusions of problem 51, the coefficients of its canonical equation must satisfy the conditions:

$$
\left\{\begin{array}{l}
3 m+4 n-2 p=0 \\
2 m+3 n-p=0
\end{array}\right.
$$

Solving this system, we get:

$$
m: n: p=2:(-1): 1
$$

At the same time, this line must pass through some common point of both planes. To find such a point, for example, we set $z=0$ in the equations of the planes and obtain the system:

$$
\left\{\begin{array}{l}
3 x+4 y=5 \\
2 x+3 y=3
\end{array}\right.
$$

Solving it, we find: $x=3, y=-1$. From this, we find the sought equations of the line: $\frac{x-3}{2}=\frac{y+1}{-1}=\frac{z}{1}$.