Write the System of Linear Equations Represented by the Augmented

question 58

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables.
- $$\left[ \begin{array} { r r r r | r } 5 & 1 & 0 & 2 & 12 \\- 1 & 8 & 1 & 0 & - 6 \\9 & 0 & 0 & 6 & - 11 \\0 & 3 & 0 & - 3 & - 4\end{array} \right]$$

• A)
• \(5 x + y + 2 w = 12\)
• \(- x + 8 y + z = - 6\)
• \(9 x + 6 w = - 11\)
• \(3 y - 3 w = - 4\)
• B)
• \(5 x + y + z + 2 w = 12\)
• \(- x + 8 y + z + w = - 6\)
• \(9 x + y + z + 6 w = - 11\)
• \(x + 3 y + z - 3 w = - 4\)
• C)
• \(5 x + y + 2 w = 12\)
• \(x + 8 y + z = - 6\)
• \(9 x + 6 w = - 11\)
• \(3 y + 3 w = - 4\)
• D)
• \(5 x + y + 2 z = 12\)
• \(- x + 8 y + z = - 6\)
• \(9 x + 6 y = - 11\)
• \(3 x - 3 y = - 4\)

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