Write the System of Linear Equations Represented by the Augmented $x , y$

question 15

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Then use back-substitution to solve. (Use variables $x , y$ , and $z$ .)
$\left[ \begin{array} { c c c : c } 1 & 4 & - 3 & - 23 \\ 0 & 1 & 4 & 19 \\ 0 & 0 & 1 & 5 \end{array} \right]$

• A) \(x = - 44 , y = 3 , z = - 3\)
• B) \(x = - 1 , y = - 4 , z = 5\)
• C) \(x = - 4 , y = 1 , z = - 5\)
• D) \(x = - 4 , y = - 1 , z = 5\)
• E) \(x = 1 , y = 5 , z = 4\)

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