Chapter 11. Systems and Matrices

In this chapter, you explore how to find the solutions to equations that possess two variables. One of the most ready ways of solving such equations involves substitution. Given this groundwork, you then explore how to work with systems of equations that involve two or more variables. When you work with systems of equations, you can solve them by employing addition and subtraction to eliminate variables from the equations on a selective basis. This approach to solving systems of equations allows you to investigate how to view systems of equations as matrices. This chapter includes the following topics:

• Solving for two variables using substitution

• Using addition and multiplication

• Recognizing no solution and infinite solution scenarios

• Solving using different approaches to elimination

• Basic matrices

• Extended matrices