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.
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.
This unit on Systems of Equations contains the following lessons and practice sheets. 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.
Do You Need More Help with Solving Systems of Equations?
Algebra Class offers video tutorials, tons of practice problems with step-by-step answer keys, and graphic organizers that will guarantee your success in Algebra 1.
CommentsWe would love to hear what you have to say about this page!
Like Us on Facebook
Recommend this on Google
Algebra Class E-course Members
Sign Up for Algebra Class E-courses
Search This Site
What People Are Saying...
"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.
It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"
Jimmy - United States
"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"
Tom - United States
"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"
Elizabeth - United States
"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."
Noel - South Africa
This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.
Reg - United States
Subscribe To This Site
Enjoy This Site?
Then why not use the button below, to add us to your favorite bookmarking service?