Use Inverses to Solve Matrix Equations
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the
constant matrix.
-$$\left[ \begin{array} { r r }
8 & 2 \
3 & - 6
\end{array} \right] \left[ \begin{array} { l }
x \
y
\end{array} \right] = \left[ \begin{array} { l }
6 \
9
\end{array} \right]$$
A) $8 x + 2 y = 6$
$3 x - 6 y = 9$
B) $8 x + 2 y = - 6$
$3 x - 6 y = - 9$
C) $2 x + 8 y = 6$
$3 x - 6 y = 9$
D) $8 x + 2 y = 6$
$- 6 x + 3 y = 9$

Question

Use Inverses to Solve Matrix Equations
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the
constant matrix.
-$$\left[ \begin{array} { r r } 
8 & 2 \
3 & - 6
\end{array} \right] \left[ \begin{array} { l } 
x \
y
\end{array} \right] = \left[ \begin{array} { l } 
6 \
9
\end{array} \right]$$
A) $8 x + 2 y = 6$
$3 x - 6 y = 9$
B) $8 x + 2 y = - 6$
$3 x - 6 y = - 9$
C) $2 x + 8 y = 6$
$3 x - 6 y = 9$
D) $8 x + 2 y = 6$
$- 6 x + 3 y = 9$

Quizplus · Accepted Answer

The given matrix equation directly translates to the system of equations in choice A, with the first row of the coefficient matrix (8, 2) corresponding to the coefficients of x and y in the first equation, and the second row (3, -6) corresponding to the coefficients in the second equation. The constant matrix on the right side of the equation matches the constants in the system of equations.

Use Inverses to Solve Matrix Equations Write the Linear System

Use Inverses to Solve Matrix Equations
Write the Linear System