What Are the Ways You Can Solve a System of Linear Equations?

What Are the Ways You Can Solve a System of Linear Equations?

Note:

Knowing the definition of a system of equations is great, but you should also know how to solve them! This tutorial introduces you to the graphing method, substitution method, and elimination method for solving a system of equations. Take a look and learn them all!

Keywords:

  • definition
  • skill
  • strategy
  • solving systems of equations
  • solving
  • equations
  • graphing
  • substitution
  • elimination

Background Tutorials

  • Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

      • What's a System of Linear Equations?What's a System of Linear Equations?

      What's a System of Linear Equations?

      A system of equations is a set of equations with the same variables. If the equations are all linear, then you have a system of linear equations! To solve a system of equations, you need to figure out the variable values that solve all the equations involved. This tutorial will introduce you to these systems.

Further Exploration

  • Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

      • How Do You Solve a System of Equations by Graphing?How Do You Solve a System of Equations by Graphing?

      How Do You Solve a System of Equations by Graphing?

      There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by graphing both lines and finding their intersection. Take a look!