Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } 2 x + y + z = 6 \\x - 2 y + 3 z = 13 \\x + y - 4 z = - 7\end{array} \right.$

Essay

Use Cramer s rule to solve the system of equations, if possible. If the equations of the system are dependent, or if the system is inconsistent, so indicate. $\left\{ \begin{array} { l } 2 x + y + z = 6 \\x - 2 y + 3 z = 13 \\x + y - 4 z = - 7\end{array} \right.$