Use Cramer's Rule to Find the Solution of the System $$\left\{ \begin{array} { c } x - y - z = 1 \\x + y + z = 19 \\- x - y + z = - 11\end{array} \right.$$

Multiple Choice

Use Cramer's rule to find the solution of the system, if possible. $$\left\{ \begin{array} { c } x - y - z = 1 \\x + y + z = 19 \\- x - y + z = - 11\end{array} \right.$$

A) $x = 10 , y = 5 , z = 4$
B) $x = 5 , y = 10 , z = 4$
C) $x = 4 , y = 5 , z = 10$
D) The system is inconsistent.
E) The equations are dependent.