Solve the System of Linear Equations and Check Any Solution $\left\{ \begin{array} { l l } 2 x + y - z & = 5 \\x - 2 y + 2 z & = - 7 \\3 x - y + z & = 3\end{array} \right.$

Multiple Choice

Solve the system of linear equations and check any solution algebraically. $\left\{ \begin{array} { l l } 2 x + y - z & = 5 \\x - 2 y + 2 z & = - 7 \\3 x - y + z & = 3\end{array} \right.$

A) $( 5 , - 7,3 )$
B) $( 5 , - 7 , - 3 )$
C) $( - 5 , - 7,3 )$
D) No solution
E) $( - 5 , - 7 , - 3 )$