# Activities

• ##### Download

• • ##### Subject Area

• Math: Algebra I: Systems of Linear Equations

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Report an Issue

What is a Solution to a System?

#### Activity Overview

Solve a system of linear equations and begin to explore the infinite numbers of solutions to one equation.

#### Objectives

• Students will understand what it means for an ordered pair to be a solution to a linear equation.
• Students will understand what it means for an ordered pair to be a solution to a system of linear equations.

#### Vocabulary

• system of linear equations
• solve

#### About the Lesson

This lesson involves solving a system of linear equations. As a result, students will:

• Understand that there are an infinite number of solutions to one equation, but exactly one solution for this particular system of equations.
• Begin to explore the possibility of having infinitely many or no solutions.