Solve the System $\left\{ \begin{array} { l } x + y + z = 4 \\x - y + z = 4 \\x - y - z = 2\end{array} \right.$

Essay

Solve the system. If a system is inconsistent or if the equations are dependent, so indicate. $\left\{ \begin{array} { l } x + y + z = 4 \\x - y + z = 4 \\x - y - z = 2\end{array} \right.$