Write the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { l l l : l } 1 & 2 & 1 & - 5 \\0 & 1 & 2 & - 6 \\0 & 0 & 1 & - 1\end{array} \right]$

question 24

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Then use back-substitution to find the solution. Use variables x , y , and z . $\left[ \begin{array} { l l l : l } 1 & 2 & 1 & - 5 \\0 & 1 & 2 & - 6 \\0 & 0 & 1 & - 1\end{array} \right]$

• A) \(\left\{ \begin{array} { r }
• x + 2 y + z = - 5 \\
• y + 2 z = - 6 \\
• z = - 1
• \end{array} \right.\)
• \(( - 4,4 , - 1 )\)
• B) \(\left\{ \begin{array} { r }
• x + 2 y + z = - 5 \\
• y + 2 z = - 6 \\
• z = - 1
• \end{array} \right.\)
• \(( - 4,4 , - 1 )\)
• C) \(\left\{ \begin{array} { r }
• x + 2 y + z = - 5 \\
• y + 2 z = - 6 \\
• z = - 1
• \end{array} \right.\)
• \(( 4,4 , - 1 )\)
• D) \(\left\{ \begin{array} { r }
• x + 2 y + 2 z = - 5 \\
• y + z = - 6 \\
• z = - 1
• \end{array} \right.\)
• \(( 4,4 , - 1 )\)
• E) \(\left\{ \begin{array} { r }
• x + 2 y + z = - 5 \\
• y + 2 z = - 6 \\
• z = - 1
• \end{array} \right.\)
• \(( 4 , - 4 , - 1 )\)

---

Definitions:

Output

The result or data produced by a computer or system after processing input.

Bit Status

The current state (on or off) of a bit, representing the smallest unit of data in digital computing and communications.