Answer
$$
x_1
\begin{bmatrix}
0 \\ 4 \\ -1
\end{bmatrix}
+
x_2
\begin{bmatrix}
1 \\ 6 \\ 3
\end{bmatrix}
+
x_3
\begin{bmatrix}
5 \\ -1 \\ -8
\end{bmatrix}
=
\begin{bmatrix}
0 \\ 0 \\ 0
\end{bmatrix}
$$
Work Step by Step
The vector on the right hand side holds the constants from the right hand sides of each of the equations. The vectors multiplied by $x_1$, $x_2$, and $x_3$ hold the coefficients of each variable in the three equations.