Translate the Matrix Equations into a System of Linear Equations

Essay

Translate the matrix equations into a system of linear equations.
​ $\left[ \begin{array} { c c c } 1 & - 1 & 5 \\- \frac { 1 } { 3 } & - 3 & \frac { 1 } { 3 } \\2 & 0 & 1\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } - 5 \\- 9 \\7\end{array} \right]$