Question

Write a matrix equation to model this system: 2x + 4y = 22 -3x + 2 y = 7

Answer 1

The matix equation for the system is:

`\begin{bmatrix}{2} & {4} \\ {-3} & {2}\end{bmatrix}\begin{bmatrix}{x} \\ {y}\end{bmatrix}=\begin{bmatrix}{22} \\ {7}\end{bmatrix}`

Step-by-step explanation:

Given the pair of equations:

`\begin{gathered} 2x+4y=22 \\ -3x+2y=7 \end{gathered}`

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.

`\begin{bmatrix}{2} & {4} \\ {-3} & {2}\end{bmatrix}\begin{bmatrix}{x} \\ {y}\end{bmatrix}=\begin{bmatrix}{22} \\ {7}\end{bmatrix}`