Answer
$ x_1=8$
$x_2=1$
Work Step by Step
The augmented matrix of the system is:
$\begin{bmatrix}
1 & -5 | 3\\
3 & -9 | 15
\end{bmatrix}$
with reduced row-echelon form:
$\begin{bmatrix}
1 & -5 | 3\\
3 & -9 | 15
\end{bmatrix} \approx^1 \begin{bmatrix}
1 & -5 | 3\\
0 & 6 | 6
\end{bmatrix} \approx^3 \begin{bmatrix}
1 & -5 | 3\\
0 & 1 | 1
\end{bmatrix}$
The equivalent system is:
$x_1-5x_2=3$
$x_2=1$
hence here
$x_1-5(1)=3 \rightarrow x_1=8$
$x_2=1$
