Solve the system using matrices.
-$$\begin{array} { c }
x + 7 y = 51 \
- 4 x + 6 y = 0
\end{array}$$
A)(8, 7)
B)(-9, 7)
C)(9, 6)
D)dependent system

Question

Solve the system using matrices.
-$$\begin{array} { c } 
x + 7 y = 51 \
- 4 x + 6 y = 0
\end{array}$$
A)(8, 7)
B)(-9, 7)
C)(9, 6)
D)dependent system

Quizplus · Accepted Answer

The system of equations can be represented by the matrix equation AX = B, where A = $\begin{bmatrix} 1 & 7 \ -4 & 6 \end{bmatrix}$, X = $\begin{bmatrix} x \ y \end{bmatrix}$, and B = $\begin{bmatrix} 51 \ 0 \end{bmatrix}$. Solving for X using the inverse of A, we find that x = 9 and y = 6.

Solve the System Using Matrices x+7y=51−4x+6y=0\begin{array} { c } x + 7 y = 51 \\- 4 x + 6 y = 0\end{array}x+7y=51−4x+6y=0​

Solve the System Using Matrices $\begin{array} { c } x + 7 y = 51 \\- 4 x + 6 y = 0\end{array}$