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) $\left[ \begin{array} { c c c }
5 & - 6 & \vdots&- 7 \
5 & - 1 &\vdots& 15
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
6&5 & \vdots&- 7 \
- 1 &5&\vdots& 15
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
6&5 & \vdots& 7 \
1 &5&\vdots& 15
\end{array} \right]$
D) $\left[ \begin{array} { c c c }
6&-5 & \vdots&- 7 \
- 1 &5&\vdots& 15
\end{array} \right]$
E) $\left[ \begin{array} { c c c }
5&6 & \vdots& 7 \
5&-1&\vdots& 15
\end{array} \right]$

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)  $\left[ \begin{array} { c c c } 
5 & - 6 & \vdots&- 7 \
5 & - 1 &\vdots& 15
\end{array} \right]$
B) $\left[ \begin{array} { c c c } 
6&5 & \vdots&- 7 \
 - 1 &5&\vdots& 15
\end{array} \right]$
C) $\left[ \begin{array} { c c c } 
6&5 & \vdots& 7 \
 1 &5&\vdots& 15
\end{array} \right]$
D) $\left[ \begin{array} { c c c } 
6&-5 & \vdots&- 7 \
 - 1 &5&\vdots& 15
\end{array} \right]$
E) $\left[ \begin{array} { c c c } 
5&6 & \vdots& 7 \
5&-1&\vdots& 15
\end{array} \right]$

Quizplus · Accepted Answer

The augmented matrix for a system of linear equations is formed by writing the coefficients of the variables in each equation along with the constants on the right side of the equation line. For the given system, the correct augmented matrix is option D, which correctly aligns the coefficients of $x$ and $y$ with their respective constants in the system of equations.

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 $\left\{ \begin{aligned}6 x - 5 y & = - 7 \\- x + 5 y & = 15\end{aligned} \right.$