Solve the System of Linear Equations and Check Any Solution $$\left\{ \begin{array} { c } x + 4 z = 1 \\x + y + 10 z = 10 \\2 x - y + 2 z = - 5\end{array} \right.$$

Multiple Choice

Solve the system of linear equations and check any solution algebraically.
$$\left\{ \begin{array} { c } x + 4 z = 1 \\x + y + 10 z = 10 \\2 x - y + 2 z = - 5\end{array} \right.$$

A) $( 4,10 , - 2 )$
B) $( - 4,10,2 )$
C) $( - 4,10 , - 2 )$
D) $( 4,10,2 )$
E) No solution