The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of thesystem.
-$\left[\begin{array}{rrrr|r}1 & 0 & 0 & 3 & 12 \ 0 & 1 & 0 & 0 & -8 \ 0 & 0 & 1 & -2 & 6 \ 0 & 0 & 0 & 0 & 0\end{array}\right]$
A) $(12+3 w,-8,6-2 w$, w) for any real number $w$
B) No solution
C) $(12,-8,6,0)$
D) $(12-3 w,-8,6+2 w$, w) for any real number $w$

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The Answer of The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of thesystem.
-$\left[\begin{array}{rrrr|r}1 & 0 & 0 & 3 & 12 \ 0 & 1 & 0 & 0 & -8 \ 0 & 0 & 1 & -2 & 6 \ 0 & 0 & 0 & 0 & 0\end{array}\right]$
A) $(12+3 w,-8,6-2 w$, w) for any real number $w$
B) No solution
C) $(12,-8,6,0)$
D) $(12-3 w,-8,6+2 w$, w) for any real number $w$

The Reduced Row Echelon Form of the Augmented Matrix of a System