Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test

Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator

Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets
» Systems of Equations

System of Equations

So, what is a system of equations? This may be a new term for you if you are just beginning your study of Algebra.

A system of equations is a set of two or more equations that you deal with at one time. When solving the system, you must consider all of the equations involved and find a solution that satisfies all of the equations. Dealing with more than one equation is what intimidates some students, but it's really not that hard.

system of equations

This graph is an example of a System of Equations. These two linear graphs represent the cost of taking a cab around town based on the number of miles driven.

Since we are working with a system, we must graph both of the equations on the same graph.

When you graph a system, the point of intersection is the solution. The point of intersection on this graph is (3,8). That means that both companies will charge the same amount, $8 for 3 miles.

That is the only time that the two companies will charge the same amount. Therefore, the point (3,8) is the solution.

A linear system of equations will only have one solution, and that is the point of intersection. Although, as always, there are times when you will find no solution or an infinte number of solutions, and we will cover those special situations in the lessons below.

A system of equations can be solved using several different methods. This unit will teach you three different methods for solving a system of equations.

Below you will find all lessons and practice problems for Solving Systems of Equations. Click on the concept that you need help with or follow each lesson in the order presented for a complete study of Systems of Equations.

Need Help Right Now?

Input your system of equations into the calculator and check your answers.

Best of luck on your study of Systems!

Like This Page?


We would love to hear what you have to say about this page!

Top of the Page

Follow Algebra-Class

Algebra Class E-course Members


Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Search This Site

Custom Search

Algebra Class
Most Popular Pages

algebra practice test

algebra cheat sheets

algebra formulas

Connect and Follow Algebra Class

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED