Answer
The linear system can not be solved by using Cramer's Rule because the determinant of the coefficient matrix is equal to zero.
Work Step by Step
The coefficient matrix is
$A=\left[\begin{array}{cc}
13&-6\\
26&-12
\end{array}\right]$
such that $AX=B$
where $X=\left[\begin{array}{cc}
x_1\\
x_2
\end{array}\right]$ and $B=\left[\begin{array}{cc}
17\\
8
\end{array}\right]$
and $|A|=zero$ ($A$ is a singular matrix)
Thus the linear system can not be solved by using Cramer's Rule.
