Consider the following system.
\[
\left\{\begin{array}{l}
-x+3 y+2 z=-5 \\
x-y-z=1 \\
-3 x+5 y+4 z=-7
\end{array}\right.
\]

Choose the best description of its solution. If applicable, give its solution.
The system has no solution.
The system has a unique solution.
\[
(x, y, z)=(\square, \square, \square
\]

The system has infinitely many solutions.
\[
(x, y, z)=
\]

○ $(x$, , D
$y$,

० (…z)

Step 1 ：\((-x + 3y + 2z) + (x - y - z) = -5 + 1\)

Step 2 ：\(2y + z = -4\)

Step 3 ：\(3*(x - y - z) + (-3x + 5y + 4z) = 3*1 + -7\)

Step 4 ：\(-3y + z = -4\)

Step 5 ：\(2y - (-3y) = -4 - (-4)\)

Step 6 ：\(5y = 0\)

Step 7 ：\(y = 0\)

Step 8 ：\(2*0 + z = -4\)

Step 9 ：\(z = -4\)

Step 10 ：\(x - 0 - (-4) = 1\)

Step 11 ：\(x = 1 - 4\)

Step 12 ：\(x = -3\)

Step 13 ：\(\boxed{(x, y, z) = (-3, 0, -4)}\)