Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r }
1 & 0 & 0 & - 8 \
0 & 1 & 0 & - 6 \
0 & 0 & 1 & - 10
\end{array} \right]$$
A)$\left\{ \begin{array} { l } x = 0 \ y = - 14 \ z = - 18 \end{array} \right.$

B) $\left\{ \begin{array} { l } x = 15 \ y = 1 \ z = 0 \end{array} \right.$

C) $\left\{ \begin{array} { l } x = - 9 \ y = 5 \ z = 6 \end{array} \right.$

D) $\left\{ \begin{array} { l } x = - 8 \ y = - 6 \ z = - 10 \end{array} \right.$

Question

Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r } 
1 & 0 & 0 & - 8 \
0 & 1 & 0 & - 6 \
0 & 0 & 1 & - 10
\end{array} \right]$$
A)$\left\{ \begin{array} { l } x = 0 \ y = - 14 \ z = - 18 \end{array} \right.$

B) $\left\{ \begin{array} { l } x = 15 \ y = 1 \ z = 0 \end{array} \right.$

C) $\left\{ \begin{array} { l } x = - 9 \ y = 5 \ z = 6 \end{array} \right.$

D) $\left\{ \begin{array} { l } x = - 8 \ y = - 6 \ z = - 10 \end{array} \right.$

Quizplus · Accepted Answer

The augmented matrix directly translates to the system of equations where each row represents an equation. The first column corresponds to $x$, the second to $y$, the third to $z$, and the right side of the bar (|) represents the constants. Thus, the system is $x = -8$, $y = -6$, $z = -10$.

Write the System of Equations Associated with the Augmented Matrix [100−8010−6001−10]\left[ \begin{array} { r r r | r } 1 & 0 & 0 & - 8 \\0 & 1 & 0 & - 6 \\0 & 0 & 1 & - 10\end{array} \right]​100​010​001​−8−6−10​​

Write the System of Equations Associated with the Augmented Matrix $\left[ \begin{array} { r r r | r } 1 & 0 & 0 & - 8 \\0 & 1 & 0 & - 6 \\0 & 0 & 1 & - 10\end{array} \right]$