How Do You Solve a Word Problem Using the Elimination by Subtraction Method?

How Do You Solve a Word Problem Using the Elimination by Subtraction Method?

Note:

Word problems are a great way to see math in action! In this tutorial, you'll see how to write a system of linear equations from the information given in a word problem. Then, you'll see how to solve this system using the elimination method. See this entire process by watching this tutorial!

Keywords:

  • problem
  • word problem
  • words
  • translate words to algebra
  • write system of equations
  • system of equations
  • solve system of equations
  • add equations
  • elimination
  • solve by elimination
  • consistent
  • independent
  • intersection
  • variable elimination
  • 2 equations
  • 2 unknowns
  • 2 variables

Background Tutorials

  • 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!

  • The Identity and Zero Properties

      • What are the Multiplication Properties of 0 and -1?What are the Multiplication Properties of 0 and -1?

      What are the Multiplication Properties of 0 and -1?

      Understanding the multiplication properties of 0 and -1 are fundamental building blocks in learning all there is to know about the operation of multiplication. In this tutorial, you'll learn about these two important properties.

  • What are Simultaneous Linear Equations in Two Variables?

      • 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.

  • Solving Simultaneous Linear Equations Using Addition

      • How Do You Solve a System of Equations Using the Elimination by Addition Method?How Do You Solve a System of Equations Using the Elimination by Addition Method?

      How Do You Solve a System of Equations Using the Elimination by Addition Method?

      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 combining the equations together to eliminate one of the variables. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!

  • Solving Simultaneous Linear Equations Using Subtraction

Further Exploration

  • Solving Simultaneous Linear Equations by Graphing

      • 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!