Could you please explain how to use a matrix (matrices) to solve a system of linear equations (two variables)? My book doesn't explain it in a way I can understand. Please and thank you.

Answer 1

Take a look at

http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

You can enter your values and it will show all the intermediate steps in arriving at the solution

If that isn't enough, google your topic and you will find any number of other explanations.