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)

Question

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)

Quizplus · Accepted Answer

The Answer of 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)

Find the System of Linear Equations Represented by the Augmented