In this lesson, you will explore the idea that you can multiply one or both equations in the system by a factor to make it possible to eliminate a variable. In addition, you will learn whenever you multiply equations in a system by a factor, add or subtract the equations, or otherwise manipulate the equations, you are essentially creating an equivalent system that will help you get closer to finding the solution of the original system.
When you finish this lesson, you will be able to:
- Explain how multiplying equations by a factor can help solve systems of linear equations.
Here are the activities that will help you reach those goals:
- 2.6.1: Multiplying Equations by a Number
- 2.6.2: Writing a New System to Solve a Given System
- 2.6.2: Self Check
- 2.6.2: Additional Resources
- 2.6.3: Finding Solutions to Unordered Sets of Equivalent Systems
- 2.6.3: Self Check
- 2.6.3: Additional Resources
- 2.6.4: Building Equivalent Systems
After that, you’ll practice and review.
- 2.6.5: Practice
- 2.6.6: Lesson Summary