$\left[ \begin{array} { l l l | l } 1 & 0 & 5 & 5 \\0 & 1 & 2 & 2 \\0 & 0 & 0 & 1\end{array} \right]$

Multiple Choice

$\left[ \begin{array} { l l l | l } 1 & 0 & 5 & 5 \\0 & 1 & 2 & 2 \\0 & 0 & 0 & 1\end{array} \right]$

A) $x = 0 , y = 0 , z = 1$
B) infinitely many solutions of the form $x = 5 - 5 z , y = 2 - 2 z , z = z$
C) inconsistent system, no solution
D) infinitely many solutions of the form $x = 5 z + 5 , y = 2 z + 2 , z = 1$