Answer
The linear system has a unique solution.
Work Step by Step
The coefficient matrix is $A=\left[\begin{array}{cc}1 & -3 \\ 2 & 1\end{array}\right] .$ The determinant of the matrix $A$ is
$$
\operatorname{det} A=\left|\begin{array}{cc}
1 & -3 \\
2 & 1
\end{array}\right|=1+6=7 \neq Z E R O
$$
Thus, the matrix $A$ is nonsingular and the linear system has a unique solution.
