$\left[ \begin{array} { r r r | r } 1 & 0 & 4 & - 2 \\0 & 1 & - 3 & 1 \\0 & 0 & 0 & 0\end{array} \right]$

Multiple Choice

$\left[ \begin{array} { r r r | r } 1 & 0 & 4 & - 2 \\0 & 1 & - 3 & 1 \\0 & 0 & 0 & 0\end{array} \right]$

A) infinitely many solutions of the form $x = - 2 - 4 z , y = 1 + 3 z , z = z$
B) infinitely many solutions of the form $x = - 2 - 4 z , y = 1 + z , z = z$
C) infinitely many solutions of the form $x = - 2 - z , y = 1 + 3 z , z = z$
D) infinitely many solutions of the form $x = 1 + 3 z , y = - 2 - 4 z , z = z$