Write the system of equations as a matrix equation of the form AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.
-$\begin{array} { l }
- 5 x - 2 y = - 7 \
3 x + 3 y = 6
\end{array}$
A) $\left[ \begin{array} { r r } - 5 & 2 \ 3 & - 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } - 7 \ 6 \end{array} \right]$
B) $\left[ \begin{array} { r r } - 5 & - 2 \ 3 & 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } 7 \ - 6 \end{array} \right]$
C) $\left[ \begin{array} { r r } - 5 & - 2 \ 3 & 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } - 7 \ 6 \end{array} \right]$
D) $\left[ \begin{array} { r r } 5 & 2 \ - 3 & - 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } - 7 \ 6 \end{array} \right]$

Question

Write the system of equations as a matrix equation of the form AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants.
-$\begin{array} { l } 
- 5 x - 2 y = - 7 \
3 x + 3 y = 6
\end{array}$
A) $\left[ \begin{array} { r r } - 5 & 2 \ 3 & - 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } - 7 \ 6 \end{array} \right]$
B) $\left[ \begin{array} { r r } - 5 & - 2 \ 3 & 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } 7 \ - 6 \end{array} \right]$
C) $\left[ \begin{array} { r r } - 5 & - 2 \ 3 & 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } - 7 \ 6 \end{array} \right]$
D) $\left[ \begin{array} { r r } 5 & 2 \ - 3 & - 3 \end{array} \right] \left[ \begin{array} { l } x \ y \end{array} \right] = \left[ \begin{array} { r } - 7 \ 6 \end{array} \right]$

Quizplus · Accepted Answer

The correct matrix equation is formed by placing the coefficients of $x$ and $y$ from each equation into the rows of matrix $A$, the variables $x$ and $y$ into matrix $X$, and the constants from the right-hand side of each equation into matrix $B$. The coefficients and constants must match their respective signs from the original equations.

Write the System of Equations as a Matrix Equation of the Form