Education Technology

Linear Systems and Calories

Activity Overview

Set up and solve systems of equations.


  • Model a real-world application with a linear system of equations with three variables.
  • Use the technology to solve a system of three equations in three variables and interpret the solutions
  • Utilize the information from their solution to solve other problems



  • coefficients
  • linear system
  • system of equations

About the Lesson

This lesson involves setting up and solving systems of equations. As a result, students will:

  • Write a system of linear equations with three variables to model a real-world application.
  • Solve their system of equations.
  • Utilize their solutions to determine the number of calories contained in a gram of carbohydrate, a gram of protein, and a gram of fat, and also obtain the formula for finding basal metabolic rate (BMR).
  • Write and solve additional equations to further explore information about calories and diet.