Find the System of Linear Equations Represented by the Augmented

Find the system of linear equations represented by the augmented matrix.Then use back substitution to solve.(Use variables x,y,z and if applicable. ) ​ $\left[\begin{array}{l}{\begin{array}{cccc}1 & -1 & 6 & \vdots8\end{array}} \\\begin{array}{llll}0 & 1 & -1 & \vdots6\end{array} \\\begin{array}{llll}0 & 0 & -1 & \vdots-6\end{array} \\\end{array}\right]$ ​

A) ​ $$\left\{ \begin{aligned}x - y + 6 z & = 8 \\y + z & = 6 \\z & = - 6\end{aligned} \right.$$ ​​(56,12,-6)
B) ​ $$\left\{ \begin{aligned}x - y + 6 z & = 8 \\y - z & = - 6 \\z & = 6\end{aligned} \right.$$ ​ ​(44,0,-6)
C) ​ $$\left\{ \begin{array} { r } x - y + 6 z = 8 \\y + z = 6 \\z = 6\end{array} \right.$$ ​​(-40,12,6)
D) ​ $$\left\{ \begin{aligned}x - y + 6 z & = 8 \\y - z & = 6 \\z & = - 6\end{aligned} \right.$$ ​ ​(44,0,-6)
E) ​ $$\left\{ \begin{aligned}x - y + 6 z & = 8 \\y + z & = - 6 \\z & = 6\end{aligned} \right.$$ ​​(-40,12,6)

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