How Do You Solve Two Equations with Two Variables?

How Do You Solve Two Equations with Two Variables?

Note:

Trying to solve two equations each with the same two unknown variables? Take one of the equations and solve it for one of the variables. Then plug that into the other equation and solve for the variable. Plug that value into either equation to get the value for the other variable. This tutorial will take you through this process of substitution step-by-step!

Keywords:

  • problem
  • equation
  • substitution
  • solve by substitution
  • simplify
  • solve
  • apply distributive property
  • linear equation
  • 2 equations 2 unknowns

Background Tutorials

  • Introduction to Algebraic Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Simplifying Expressions

      • How Do You Simplify an Expression?How Do You Simplify an Expression?

      How Do You Simplify an Expression?

      Simplifying an algebraic expression is a fundamental part of solving math problems. Get some practice putting an expression in simplest form by following along with this tutorial.

  • The Distributive Property

  • Solving Two-Step Equations

  • Solving Systems Using Substitution

      • How Do You Check Your Answer When You Have Two Equations?How Do You Check Your Answer When You Have Two Equations?

      How Do You Check Your Answer When You Have Two Equations?

      Imagine you have two equations with two variables that you're trying to solve for, and someone hands you the answer. How do you know that the answer is right? After watching this tutorial you'll see exactly what it takes to check that the answer you have is correct for BOTH equations!

Further Exploration

  • Solving Systems Using Substitution

  • Elimination by Multiplication

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

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

      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!