Select the System of Linear Equations Represented by the Following

Multiple Choice

Select the system of linear equations represented by the following augmented matrix.​ $\left[\begin{array}{l}{\begin{array}{lllr}2 & 0 & 4 & \vdots-13\end{array}} \\\begin{array}{lllr}0 & 1&-2 & \vdots 6\end{array} \\\begin{array}{lllr}5 & 3 & 0 & \vdots 2\end{array} \\\end{array}\right]$ ​

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) ​ $$\left\{ \begin{array} { r r } 2 x + 4 z = & - 13 \\y - 2 z = & 6 \\5 x + 3 y = & 2\end{array} \right.$$