At times, it is challenging or even impossible to adequately represent a problem using a single equation. In such cases, mathematicians use systems of two or more equations. A system can contain several different types of equations and many different variables, but this course will focus primarily on systems of two linear equations containing two variables. Such systems can be applied in various situations, but are particularly useful when solving problems involving mixtures of two things.
In this unit you will learn how to solve systems of two linear equations by three different methods: graphing, substitution, and elimination. In addition, you will learn how to visualize the solutions of systems of linear inequalities through graphs on the coordinate plane.
Guiding Questions for Unit 5:
When and why should various methods of solving systems of linear equations be applied?
How can systems of linear equations be used to solve application problems?
How can graphs illustrate solutions to systems of equations and inequalities?
Lessons in Unit 5:
Lesson 2: Solving by Substitution
Lesson 3: Solving by Elimination
Lesson 4: Applications of Systems
Lesson 5: Graphing Inequalities
Lesson 6: Systems of Inequalities