To find the solution to the given system of equations:
[tex]\[
\begin{array}{l}
3x + 2y + 3z = 3 \\
4x - 5y + 7z = 1 \\
2x + 3y - 2z = 6
\end{array}
\][/tex]
we solve for \( x \), \( y \), and \( z \).
The solution to the system of equations is:
[tex]\[
\begin{array}{l}
x = 2.0 \\
y = 0.0 \\
z = -1.0
\end{array}
\][/tex]
Thus, the answers are:
[tex]\[
\begin{array}{l}
x = 2 \\
y = 0 \\
z = -1
\end{array}
\][/tex]