Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r }
3 & 6 & 2 & - 2 \
6 & 0 & 7 & 4 \
2 & 7 & 0 & 2
\end{array} \right]$$
A) $\left\{ \begin{array} { l } 3 x - 6 y + 2 z = - 2 \ 6 x + 7 z = - 4 \ 2 x + 7 y = - 2 \end{array} \right.$

B) $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 y = 2 \end{array} \right.$

C) $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 z = 2 \end{array} \right.$

Question

Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r } 
3 & 6 & 2 & - 2 \
6 & 0 & 7 & 4 \
2 & 7 & 0 & 2
\end{array} \right]$$
A) $\left\{ \begin{array} { l } 3 x - 6 y + 2 z = - 2 \ 6 x + 7 z = - 4 \ 2 x + 7 y = - 2 \end{array} \right.$

B) $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 y = 2 \end{array} \right.$

C) $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 z = 2 \end{array} \right.$

Quizplus · Accepted Answer

The augmented matrix corresponds to a system of linear equations where each row represents an equation and the columns represent the coefficients of the variables $x$, $y$, $z$, and the constant term on the right side of the equation. The correct system of equations is: $3x + 6y + 2z = -2$, $6x + 0y + 7z = 4$, and $2x + 7y + 0z = 2$.

Write the System of Equations Associated with the Augmented Matrix [362−260742702]\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]​362​607​270​−242​​

Write the System of Equations Associated with the Augmented Matrix $\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]$