Select the System of Linear Equations Represented by the Following $\left[ \begin{array} { c c c c } 8 & - 4 & 1 &\vdots& 14 \\16 & 0 & - 9 &\vdots& 12\end{array} \right]$

Multiple Choice

Select the system of linear equations represented by the following augmented matrix. $\left[ \begin{array} { c c c c } 8 & - 4 & 1 &\vdots& 14 \\16 & 0 & - 9 &\vdots& 12\end{array} \right]$

A) $\left\{ \begin{array} { r r } 2 x - 4 z = & 13 \\y - 2 z = & - 6 \\4 x + y = & 3\end{array} \right.$
B) $\left\{\begin{aligned}2 x-4 z & =-13 \\y+2 z & =6 \\4 x+y & =3\end{aligned}\right.$
C) $\left\{ \begin{array} { r r } x + y - 2 z = & - 13 \\x + y + 2 z = & 6 \\4 x + y + z = & 3\end{array} \right.$
D) $\left\{ \begin{aligned}x - 2 z = & - 13 \\x - 2 z = & 6 \\4 x + y = & 3\end{aligned} \right.$
E) $\left\{ \begin{array} { r r } 2 x + 4 z = & - 13 \\y - 2 z = & 6 \\5 x + 3 y = & 2\end{array} \right.$