Use matrices to solve the system of linear equations below.
$\left\{ \begin{array} { l }
- 2 x - y = - 13 \
x + 2 y = 11
\end{array} \right.$
A) (-2,2)
B) (3,-1)
C) (5,3)
D) (5,-2)
E) (-1,4)

Question

Use matrices to solve the system of linear equations below. 
$\left\{ \begin{array} { l } 
- 2 x - y = - 13 \
x + 2 y = 11
\end{array} \right.$
A) (-2,2)
B) (3,-1)
C) (5,3)
D) (5,-2)
E) (-1,4)

Quizplus · Accepted Answer

To solve the system using matrices, we write it in matrix form as AX = B, where A = $\begin{bmatrix} -2 & -1 \ 1 & 2 \end{bmatrix}$, X = $\begin{bmatrix} x \ y \end{bmatrix}$, and B = $\begin{bmatrix} -13 \ 11 \end{bmatrix}$. Solving for X using the inverse of A, we find X = $\begin{bmatrix} 5 \ 3 \end{bmatrix}$, which corresponds to the solution (5,3).

Use Matrices to Solve the System of Linear Equations Below {−2x−y=−13x+2y=11\left\{ \begin{array} { l } - 2 x - y = - 13 \\x + 2 y = 11\end{array} \right.{−2x−y=−13x+2y=11​

Use Matrices to Solve the System of Linear Equations Below $\left\{ \begin{array} { l } - 2 x - y = - 13 \\x + 2 y = 11\end{array} \right.$