Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the
variables.
-$\left[ \begin{array} { r r r | r } 6 & 9 & 6 & - 2 \ 2 & 0 & 7 & 4 \ 6 & 8 & 0 & 2 \end{array} \right]$
A) $6 x + 9 y + 6 z = - 2$
$2 x + 7 z = 4$
$6 x + 8 y = 2$
B) $6 x - 9 y + 6 z = - 2$
$2 x + 7 z = - 4$
$6 x + 8 y = - 2$
C) $6 x + 9 y + 6 z = - 2$
$2 x + 7 z = 4$
$6 x + 8 z = 2$
D) $6 x + 9 y + 6 z = - 2$
$2 x + y + 7 z = 4$
$6 x + 8 y + z = 2$

Question

Quizplus · Accepted Answer

The augmented matrix is already in row echelon form, which means the first equation is $6x + 9y + 6z = -2$. To get the next equation, we can use the second row, which gives us $2x + 7z = 4$. Finally, we can use the third row to get $6x + 8y = 2$. Therefore, the system of linear equations is:

\begin{align*}
6x + 9y + 6z &= -2 \
2x + 7z &= 4 \
6x + 8y &= 2
\end{align*}

Write the System of Linear Equations Represented by the Augmented [696−220746802]\left[ \begin{array} { r r r | r } 6 & 9 & 6 & - 2 \\ 2 & 0 & 7 & 4 \\ 6 & 8 & 0 & 2 \end{array} \right]​626​908​670​−242​​

Write the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { r r r | r } 6 & 9 & 6 & - 2 \\ 2 & 0 & 7 & 4 \\ 6 & 8 & 0 & 2 \end{array} \right]$