Write the System of Linear Equations Represented by the Augmented $$\begin{array} { r } 7 x + 8 y - 12 z + w = 9 \\4 y + z = 10 \\x - y - 3 z = - 1 \\5 x - 5 y + 2 z = 2\end{array}$$

question 49

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the
variables.
- $$\begin{array} { r } 7 x + 8 y - 12 z + w = 9 \\4 y + z = 10 \\x - y - 3 z = - 1 \\5 x - 5 y + 2 z = 2\end{array}$$

• A)
• \[\left[ \begin{array} { r r r r | r }
• 7 & 8 & - 12 & 1 & 9 \\
• 0 & 4 & 1 & 0 & 10 \\
• 1 & - 1 & - 3 & 0 & - 1 \\
• 5 & - 5 & 2 & 0 & 2
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { r r r | r }
• 7 & 8 & - 12 & 9 \\
• 0 & 4 & 1 & 6 \\
• 1 & - 1 & - 3 & - 1 \\
• 5 & - 5 & 2 & 2
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { l r r | r }
• 7 & 0 & 1 & 9 \\
• 8 & 4 & - 1 & - 5 \\
• - 12 & 1 & - 3 & 2 \\
• 1 & 0 & 0 & 0 \\
• 9 & 10 & - 1 & 2
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r r | r }
• 7 & 8 & 12 & 1 & 9 \\
• 0 & 4 & 1 & 0 & 10 \\
• 1 & 1 & 3 & 0 & - 1 \\
• 5 & 5 & 2 & 0 & 2
• \end{array} \right]\]

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