Answer
$$x=\frac{3}{2},\:y=-4,\:z=-3$$
Work Step by Step
Solving the system of equations using Matrices, we find:
$$ \begin{bmatrix}4&-1&-3&¦&19\\ 8&1&-1&¦&11\\ 2&1&2&¦&-7\end{bmatrix}\\ \begin{bmatrix}1&0&0&¦&\frac{3}{2}\\ 0&1&0&¦&-4\\ 0&0&1&¦&-3\end{bmatrix}\\ x=\frac{3}{2},\:y=-4,\:z=-3$$