Write the matrix equation as a system of linear equations without matrices.
-$$\left[ \begin{array} { r r }
8 & - 8 \
- 8 & 4
\end{array} \right] \left[ \begin{array} { l }
x \
y
\end{array} \right] = \left[ \begin{array} { l }
8 \
8
\end{array} \right]$$
A) $8 x - 8 y = 8$
$- 8 x + 4 y = 8$
B) $8 x - 8 y = - 8$
$- 8 x + 4 y = - 8$
C) $- 8 x + 8 y = 8$
$- 8 x + 4 y = 8$
D) $8 x - 8 y = 8$
$4 x - 8 y = 8$

Question

Write the matrix equation as a system of linear equations without matrices.
-$$\left[ \begin{array} { r r } 
8 & - 8 \
- 8 & 4
\end{array} \right] \left[ \begin{array} { l } 
x \
y
\end{array} \right] = \left[ \begin{array} { l } 
8 \
8
\end{array} \right]$$
A) $8 x - 8 y = 8$
$- 8 x + 4 y = 8$
B) $8 x - 8 y = - 8$
$- 8 x + 4 y = - 8$
C) $- 8 x + 8 y = 8$
$- 8 x + 4 y = 8$
D) $8 x - 8 y = 8$
$4 x - 8 y = 8$

Quizplus · Accepted Answer

To convert the given matrix equation into a system of linear equations, perform matrix multiplication on the left side and equate it to the right side. This results in the system: $8x - 8y = 8$ and $-8x + 4y = 8$.

Write the Matrix Equation as a System of Linear Equations