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

If you find this concept to be really difficult, you must check out the examples on video found in the Algebra Class E-course. With more examples explained, step-by-step, lots of practice, and detailed solutions, you'll have no problems with any of the three methods used to solve a system of equations!

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

Example 2

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

Example 3

Ok... one more unique example!

Example 4

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

Are you ready for a little practice? Click here to try a few practice problems.

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