For the Augmented Matrix, Give the System of Equations It $\left[ \begin{array} { c c c | c } 2 & - 2 & 8 & 1 \\3 & 1 & 1 & 0 \\2 & - 4 & 3 & - 7\end{array} \right]$

Multiple Choice

For the augmented matrix, give the system of equations it represents. $\left[ \begin{array} { c c c | c } 2 & - 2 & 8 & 1 \\3 & 1 & 1 & 0 \\2 & - 4 & 3 & - 7\end{array} \right]$

A) $\left\{ \begin{aligned}- 2 x + 2 y = & 1 \\3 x - y = & 0 \\2 x + 4 y = & - 7\end{aligned} \right.$
B) $\left\{ \begin{array} { l } 2 x - 2 y + 8 z = 1 \\3 x + y + z = 0 \\2 x - 4 y + 3 z = - 7\end{array} \right.$
C) $\left\{ \begin{array} { l } 2 x - 2 y + 8 z = 0 \\3 x + y + z = 0 \\2 x - 4 y + 3 z = 0\end{array} \right.$
D) $\left\{ \begin{array} { r } - 2 x + 2 y = 0 \\3 x - y = 0 \\2 x + 4 y = 0\end{array} \right.$
E) $\left\{ \begin{array} { l } 2 x - 2 y = 0 \\3 x + y = 0 \\2 x - 4 y = 0\end{array} \right.$