How to Solve Systems of Linear Equalities

By C.D. Crowder

Linear systems require you to solve for the common x, y coordinate among two or more equations. The term equality means each equation uses an = sign. There are several methods of solving linear equality systems, but the two most popular are substitution and elimination. Elimination isn’t always an option, so this tutorial will cover substitution.

Write down your system.

Solve one of the equations for y.

Substitute your solved equation in place of y in another equation. This will allow you to solve for the value of x.

Substitute the value of x in one of your original equations to solve for y.

Graph your solved x, y coordinate if required.

Set up a table of values for each equation to graph lines. The lines will meet at the point you found in Step 4.

About the Author

C.D. Crowder has been a freelance writer on a variety of topics including but not limited to technology, education, music, relationships and pets since 2008. Crowder holds an A.A.S degree in networking and one in software development and continues to develop programs and websites in addition to writing.