Select the augmented matrix for the system of linear equations. $$\left\{ \begin{aligned}
6 x - 5 y & = - 7 \
- x + 5 y & = 15
\end{aligned} \right.$$
A) $$\left[ \begin{array} { c c : c }
5 & - 6 & - 7 \
5 & - 1 & 15
\end{array} \right]$$
B) $\left[\begin{array}{cc:c}
6 & 5 & -7 \
-1 & 5 & 15
\end{array}\right]$
C) $\left[\begin{array}{cc:c}
6 & 5 & 7 \
1 & 5 & 15
\end{array}\right]$
D) $\left[\begin{array}{cccc}
6 & -5 & \vdots & -7 \
-1 & 5 & \vdots & 15
\end{array}\right]$
E) $\left[\begin{array}{cc:c}
5 & 6 & 7 \
5 & -1 & 15
\end{array}\right]$

Question

Select the augmented matrix for the system of linear equations.​ $$\left\{ \begin{aligned}
6 x - 5 y & = - 7 \
- x + 5 y & = 15
\end{aligned} \right.$$ ​
A)​ $$\left[ \begin{array} { c c : c } 
5 & - 6 & - 7 \
5 & - 1 & 15
\end{array} \right]$$
B) $\left[\begin{array}{cc:c}
6 & 5 & -7 \
-1 & 5 & 15
\end{array}\right]$
C) $\left[\begin{array}{cc:c}
6 & 5 & 7 \
1 & 5 & 15
\end{array}\right]$
D) $\left[\begin{array}{cccc}
6 & -5 & \vdots & -7 \
-1 & 5 & \vdots & 15
\end{array}\right]$
E) $\left[\begin{array}{cc:c}
5 & 6 & 7 \
5 & -1 & 15
\end{array}\right]$

Quizplus · Accepted Answer

The augmented matrix for a system of linear equations is formed by writing the coefficients of the variables and the constant terms in each equation in a matrix, with each row representing an equation. Looking at the options, it's clear that option D has the correct format of the augmented matrix with the coefficients of variables in the first three columns and constants in the fourth column.

Select the Augmented Matrix for the System of Linear Equations {6x−5y=−7−x+5y=15\left\{ \begin{aligned}6 x - 5 y & = - 7 \\- x + 5 y & = 15\end{aligned} \right.{6x−5y−x+5y​=−7=15​

Select the Augmented Matrix for the System of Linear Equations $\left\{ \begin{aligned}6 x - 5 y & = - 7 \\- x + 5 y & = 15\end{aligned} \right.$