Answer
The system of linear equations does not have a unique solution.
Work Step by Step
The coefficient matrix is
$A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & -1 & 1 \\ 3 & -2 & 2\end{array}\right] $
The determinant of the matrix A is
$\operatorname{det} A=\left|\begin{array}{ccc}1 & -1 & 1 \\ 2 & -1 & 1 \\ 3 & -2 & 2\end{array}\right|=(-2+2)+4-3+(-4+3)=1-1=Z E R O$
Thus, matrix $A$ is singular and the system of linear equations does not have a unique solution.
