Solve the System of Equations $\left\{\begin{array}{r}x+4 y-z=3 \\x+5 y-2 z=5 \\3 x+12 y-3 z=9\end{array}\right.$

Solve the system of equations.
- $\left\{\begin{array}{r}x+4 y-z=3 \\x+5 y-2 z=5 \\3 x+12 y-3 z=9\end{array}\right.$

A)
$\begin{array}{l}x=3 z+5 \\y=z-2 \\z=\text { any real number }\end{array}$

B)
$\begin{array}{l}x=-3 z-5 \\y=z+2 \\z=\text { any real number }\end{array}$

C)
$\begin{array}{l}x=z-2 \\y=-3 z-5 \\z=\text { any real number }\end{array}$

D) $\text { inconsistent (no solution) }$