Answer
The answer is
$\left(\begin{array}{cc|c}
1 & -\frac{4}{3} & 2 \\
3 & 5 & -2 \\
\end{array}\right)$
Work Step by Step
The given matrix is
$\left(\begin{array}{cc|c}
-6 & 8 & -12 \\
3 & 5 & -2 \\
\end{array}\right)$
Perform $ -\frac{1}{6} R_1$
Multiply row 1 by $-\frac{1}{6}$.
$\left(\begin{array}{cc|c}
-6\cdot (-\frac{1}{6}) & 8\cdot (-\frac{1}{6}) & -12\cdot (-\frac{1}{6}) \\
3 & 5 & -2 \\
\end{array}\right)$
Simplify.
$\left(\begin{array}{cc|c}
1 & -\frac{4}{3} & 2 \\
3 & 5 & -2 \\
\end{array}\right)$ .