In this lesson, you will revisit the idea that not all systems of linear equations have a single solution. Next, you will investigate different ways to determine the number of solutions to a system of linear equations.

When you finish this lesson, you will be able to:

• Determine how many solutions a system of equations could have.

Here are the activities that will help you reach those goals:

• 2.7.1: Systems of Linear Equations with Infinitely Many Solutions
• 2.7.2: Systems of Linear Equations with No Solution
  • 2.7.2: Self Check
  • 2.7.2: Additional Resources
• 2.7.3: Sorting Systems of Equations Based on Number of Solutions
  • 2.7.3: Self Check
  • 2.7.3: Additional Resources
• 2.7.4: Writing Consistent and Inconsistent Systems of Equations

After that, you’ll practice and review.

• 2.7.5: Practice
• 2.7.6: Lesson Summary