Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the given system.
-$$\begin{array} { l }
4 ( x - 3 y ) = 9 y + 6 \
8 x = 9 y + 6
\end{array}$$
A) $ \left[\begin{array}{rr|r}4 & -3 & 6 \ 8 & 9 & 6\end{array}\right] $

B) $ \left[\begin{array}{rr|r}4 & -3 & 6 \ 8 & -9 & 6\end{array}\right] $

C) $ \left[\begin{array}{rr|r}4 & -21 & 6 \ 8 & -9 & 6\end{array}\right] $

D) $ \left[\begin{array}{rr|r}4 & -21 & 6 \ 8 & 9 & 6\end{array}\right] $

Question

Choose the one alternative that best completes the statement or answers the question.
Write the augmented matrix for the given system.
-$$\begin{array} { l } 
4 ( x - 3 y ) = 9 y + 6 \
8 x = 9 y + 6
\end{array}$$
A) $ \left[\begin{array}{rr|r}4 & -3 & 6 \ 8 & 9 & 6\end{array}\right] $

B) $ \left[\begin{array}{rr|r}4 & -3 & 6 \ 8 & -9 & 6\end{array}\right] $

C) $ \left[\begin{array}{rr|r}4 & -21 & 6 \ 8 & -9 & 6\end{array}\right] $

D) $ \left[\begin{array}{rr|r}4 & -21 & 6 \ 8 & 9 & 6\end{array}\right] $

Quizplus · Accepted Answer

First, simplify the given system of equations. The first equation becomes $4x - 12y = 9y + 6$, which simplifies to $4x - 21y = 6$. The second equation is already simplified as $8x = 9y + 6$, but to match the format of an augmented matrix, it should be written as $8x - 9y = 6$. Thus, the correct augmented matrix is $ \left[\begin{array}{rr|r}4 & -21 & 6 \ 8 & -9 & 6\end{array}\right] $.

Choose the One Alternative That Best Completes the Statement or Answers