Write the augmented matrix for the system. Do not solve the system.
-$$\begin{array} { l }
- 2 x + 3 y + 3 z = 37 \
6 x + 4 y + 3 z = 27 \
7 x - 2 y - 2 z = - 36
\end{array}$$
A)
$$\left[ \begin{array} { r r r }
- 2 & 3 & 3 \
6 & 4 & 3 \
7 & - 2 & - 2
\end{array} \right]$$
B)
$$\left[ \begin{array} { r r r | r }
- 2 & 3 & 3 & 37 \
6 & 4 & 3 & 27 \
7 & - 2 & - 2 & - 36
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r | r }
37 & 3 & 7 & - 2 \
27 & 3 & 4 & 6 \
- 36 & - 2 & - 2 & 7
\end{array} \right]$$
D)
$$\left[ \begin{array} { r r r | r }
- 2 & 6 & 7 & 37 \
3 & 4 & - 2 & 27 \
3 & 3 & - 2 & - 36
\end{array} \right]$$

Question

Write the augmented matrix for the system. Do not solve the system.
-$$\begin{array} { l } 
- 2 x + 3 y + 3 z = 37 \
6 x + 4 y + 3 z = 27 \
7 x - 2 y - 2 z = - 36
\end{array}$$
A)
$$\left[ \begin{array} { r r r } 
- 2 & 3 & 3 \
6 & 4 & 3 \
7 & - 2 & - 2
\end{array} \right]$$
B)
$$\left[ \begin{array} { r r r | r } 
- 2 & 3 & 3 & 37 \
6 & 4 & 3 & 27 \
7 & - 2 & - 2 & - 36
\end{array} \right]$$
C)
$$\left[ \begin{array} { r r r | r } 
37 & 3 & 7 & - 2 \
27 & 3 & 4 & 6 \
- 36 & - 2 & - 2 & 7
\end{array} \right]$$
D)
$$\left[ \begin{array} { r r r | r } 
- 2 & 6 & 7 & 37 \
3 & 4 & - 2 & 27 \
3 & 3 & - 2 & - 36
\end{array} \right]$$

Quizplus · Accepted Answer

The augmented matrix for a system of equations includes the coefficients of the variables in the system and the constants from the right-hand side of the equations, all in the same order as they appear in the system, separated by a line for the constants. Option B correctly represents this for the given system of equations.

Write the Augmented Matrix for the System −2x+3y+3z=376x+4y+3z=277x−2y−2z=−36\begin{array} { l } - 2 x + 3 y + 3 z = 37 \\6 x + 4 y + 3 z = 27 \\7 x - 2 y - 2 z = - 36\end{array}−2x+3y+3z=376x+4y+3z=277x−2y−2z=−36​

Write the Augmented Matrix for the System $\begin{array} { l } - 2 x + 3 y + 3 z = 37 \\6 x + 4 y + 3 z = 27 \\7 x - 2 y - 2 z = - 36\end{array}$