Write the augmented matrix for the system. Do not
-$$\begin{array} { l }
5 x + 5 y + 6 z = 61 \
7 x + 4 y + 3 z = 74 \
8 x + 7 y - 2 z = 84
\end{array}$$
A)
$$\left[ \begin{array} { r r r | r }
61 & 6 & 8 & 5 \
74 & 3 & 4 & 7 \
84 & - 2 & 7 & 8
\end{array} \right]$$

B)
$$\left[ \begin{array} { r r r }
5 & 5 & 6 \
7 & 4 & 3 \
8 & 7 & - 2
\end{array} \right]$$

C)
$$\left[ \begin{array} { r r r | r }
5 & 5 & 6 & 61 \
7 & 4 & 3 & 74 \
8 & 7 & - 2 & 84
\end{array} \right]$$

D)
$$\left[ \begin{array} { r r r | r }
5 & 7 & 8 & 61 \
5 & 4 & 7 & 74 \
6 & 3 & - 2 & 84
\end{array} \right]$$

Question

Write the augmented matrix for the system. Do not
-$$\begin{array} { l } 
5 x + 5 y + 6 z = 61 \
7 x + 4 y + 3 z = 74 \
8 x + 7 y - 2 z = 84
\end{array}$$
A)
$$\left[ \begin{array} { r r r | r } 
61 & 6 & 8 & 5 \
74 & 3 & 4 & 7 \
84 & - 2 & 7 & 8
\end{array} \right]$$

B)
$$\left[ \begin{array} { r r r } 
5 & 5 & 6 \
7 & 4 & 3 \
8 & 7 & - 2
\end{array} \right]$$

C)
$$\left[ \begin{array} { r r r | r } 
5 & 5 & 6 & 61 \
7 & 4 & 3 & 74 \
8 & 7 & - 2 & 84
\end{array} \right]$$

D)
$$\left[ \begin{array} { r r r | r } 
5 & 7 & 8 & 61 \
5 & 4 & 7 & 74 \
6 & 3 & - 2 & 84
\end{array} \right]$$

Quizplus · Accepted Answer

The augmented matrix for a system of equations is formed by writing the coefficients of the variables in each equation as the columns of the matrix, with the constants from the right-hand side of the equations as the last column. Choice C correctly represents the system of equations given.

Write the Augmented Matrix for the System 5x+5y+6z=617x+4y+3z=748x+7y−2z=84\begin{array} { l } 5 x + 5 y + 6 z = 61 \\7 x + 4 y + 3 z = 74 \\8 x + 7 y - 2 z = 84\end{array}5x+5y+6z=617x+4y+3z=748x+7y−2z=84​

Write the Augmented Matrix for the System $\begin{array} { l } 5 x + 5 y + 6 z = 61 \\7 x + 4 y + 3 z = 74 \\8 x + 7 y - 2 z = 84\end{array}$