**Chapter 3Systems of Equations and Inequalities**

3.1 Solving Systems of Equations

3.2 Solving Systems of Inequalities by Graphing

3.3 Linear Programming

3.4 Systems of Equations in Three Variables

3.5 Solving Systems of Equations with Matrices

3.6 Solving Systems of Equations with Determinants and Cramer’s Rule

**3.1 Solving Systems of Equations**

A *system of equations* is a set of two or more equations considered together. A solution of a system of equations must be a solution to all of the equations in the system.

System of Equations

In the previous system of equations, (1, 1) is a solution because (1, 1) is a solution to both equations.

**Solving a ...**