Solve the System $\left\{ \begin{array} { l } x + y + z = 6 \\2 x + y - z = 7 \\2 x - 3 y + z = 1\end{array} \right.$

Essay

Solve the system. If the system is inconsistent or if the equations are dependent, so indicate. $\left\{ \begin{array} { l } x + y + z = 6 \\2 x + y - z = 7 \\2 x - 3 y + z = 1\end{array} \right.$