Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } x + y + 2 z = 13 \\x + 2 y + z = 11 \\2 x + y + z = 12\end{array} \right.$

Multiple Choice

Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l } x + y + 2 z = 13 \\x + 2 y + z = 11 \\2 x + y + z = 12\end{array} \right.$

A) $( 4,2,3 )$
B) $( 3,2,4 )$
C) $( 2,3,4 )$
D) dependent
E) inconsistent