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

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

Note:

There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve such a system by combining the equations together in a way so that one of the variables is eliminated. Then, see how find the value of that variable and use it to find the value of the other variable. Take a look!

Keywords:

  • problem
  • line
  • linear equations
  • system of equations
  • system
  • 2 equations
  • find intersection
  • solve system of equations
  • solve by elimination
  • elimination
  • variable elimination
  • add equations
  • consistent
  • 1 solution
  • multiply equation
  • multiply
  • multiply by negative
  • independent
  • 2 equations
  • 2 unknowns
  • 2 variables

Background Tutorials

  • communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate

      • 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

  • Write systems of two linear equations given a table of values, a graph, and a verbal description

      • 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!