Using the Substitution Method to
Solve Systems of Equations

The substitution method is one of two ways to solve systems of equations without graphing. The following steps can be used as a guide as you read through the examples for using the substitution method.


Steps for Using the Substitution Method in order to Solve Systems of Equations

  • Solve 1 equation for 1 variable. (Put in y =     or x =     form)
  • Substitute this expression into the other equation and solve for the missing variable.
  • Substitute your answer into the first equation and solve.
  • Check the solution.

  • These directions will make a lot more sense when you study the examples below!





    Example 1

    substitution method



    The next example demonstrates a situation where it is easier to solve for x initially.



    Example 2

    substitution method for solving a system of equations



    Let's take a look at another example. You'll find this very interesting!


    Example 3

    solving systems of equations



    Ok... one more unique example!

    Example 4

    substitution method example



    Now you've seen it all for using the substitution method!


    Having Trouble with Your Homework?

    Type your system of equations problem into the solver below to find the correct answer.



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