Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } 2 x + y + z = 6 \\x - 2 y + 3 z = 8 \\x + y - 4 z = - 2\end{array} \right.$

Multiple Choice

Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l } 2 x + y + z = 6 \\x - 2 y + 3 z = 8 \\x + y - 4 z = - 2\end{array} \right.$

A) $( 1 , - 1,3 )$
B) $( 3 , - 1,1 )$
C) $( 1 , - 3,1 )$
D) dependent
E) inconsistent