Answer:
The matix equation for the system is:
[tex]\begin{bmatrix}{2} & {4} \\ {-3} & {2}\end{bmatrix}\begin{bmatrix}{x} \\ {y}\end{bmatrix}=\begin{bmatrix}{22} \\ {7}\end{bmatrix}[/tex]
Explanation:
Given the pair of equations:
[tex]\begin{gathered} 2x+4y=22 \\ -3x+2y=7 \end{gathered}[/tex]
We want to write this in a matrix form. This is done by having the coefficients of x from both equations on one row, and the coefficients of y on another.
It would be in the form:
Ax = b
Where A are the coefficients of the variables, x are the variables, and b are the constants.
[tex]\begin{bmatrix}{2} & {4} \\ {-3} & {2}\end{bmatrix}\begin{bmatrix}{x} \\ {y}\end{bmatrix}=\begin{bmatrix}{22} \\ {7}\end{bmatrix}[/tex]
