Answer
The answer is
$\left(\begin{array}{cc|c}
1 & -\frac{3}{2} & 5 \\
4 & 2 & 5 \\
\end{array}\right)$.
Work Step by Step
The given matrix is
$\left(\begin{array}{cc|c}
-2 & 3 & -10 \\
4 & 2 & 5 \\
\end{array}\right)$
Perform $ -\frac{1}{2}R_1 $.
Multiply row 1 by $ -\frac{1}{2} $.
$\left(\begin{array}{cc|c}
-2\cdot (-\frac{1}{2}) & 3\cdot (-\frac{1}{2}) & -10\cdot (-\frac{1}{2}) \\
4 & 2 & 5 \\
\end{array}\right)$
Simplify.
$\left(\begin{array}{cc|c}
1 & -\frac{3}{2} & 5 \\
4 & 2 & 5 \\
\end{array}\right)$.