Find the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { c c c c } 1&-1&6 &\vdots& 8 \\0&1&-1 &\vdots& 6 \\0 & 0 & 1 &\vdots&-6\\\end{array} \right]$

question 152

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.) $\left[ \begin{array} { c c c c } 1&-1&6 &\vdots& 8 \\0&1&-1 &\vdots& 6 \\0 & 0 & 1 &\vdots&-6\\\end{array} \right]$

• 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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