 # Solving Linear Systems of Equations

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A series of free Basic Algebra Lessons.

In this lesson, we will learn

• how to solve systems of equations graphically
• how to solve systems of equations using substitution
• how to solve systems of equations using elimination
Introduction to Systems of Equations
A system of equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There are four methods to solving systems of equations: graphing, substitution, elimination and matrices. Solving systems of equations is an important concept that shows up first in Algebra I, but is built upon in upper-level math.

Solving Systems of Equations by Graphing
A system of equations is two or more equations that contain the same variables. Solving systems of equations by graphing is one method to find the point that is a solution to both (or all) original equations. Besides solving systems of equations by graphing, other methods of finding the solution to systems of equations include substitution, elimination and matrices.

Solving a Linear System of Equations by Graphing.
Solving Systems of Equations Graphically

Solving Systems of Equations by Substitution
A system of equations is two or more equations that contain the same variables. Solving systems of equations by substitution is one method to find the point that is a solution to both (or all) original equations. Besides solving systems of equations by substitution, other methods of finding the solution to systems of equations include graphing, elimination and matrices.

Solving Linear Systems of Equations Using Substitution
3 complete examples are shown along with an outline of the basic idea Steps to solve a linear system using the substitution method Solving Systems of Equations by Elimination
A system of equations is two or more equations that contain the same variables. Solving systems of equations by elimination is one method to find the point that is a solution to both (or all) original equations. Besides solving systems of equations by elimination, other methods of finding the solution to systems of equations include graphing, substitution and matrices.

Solving Systems of Equations Using Elimination By Addition Solving Systems of Equations by Elimination

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