Find the System of Linear Equations Represented by the Augmented

question 33

Multiple Choice

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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