Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } x + y + z = 7 \\x + y - z = 5 \\x - y + z = 1\end{array} \right.$

Multiple Choice

Use Cramer s rule to solve the system of equations, if possible. $\left\{ \begin{array} { l } x + y + z = 7 \\x + y - z = 5 \\x - y + z = 1\end{array} \right.$

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