Recall that in solving a system of equations, you are trying to find the point where your lines cross. If you have two lines, there are three scenarios: the lines cross in exactly one point (which is called independent and consistent,) the lines are parallel and never cross (which is called independent and inconsistent and you'll have no solution,) and the two lines are the same line written in different forms (which is called dependent and consistent and you will have infinite solutions.) If you are solving algebraically, both variables cancel out and you are left with a true statement like 0 = 0, then the solution is dependent and has infinite solutions. If both variables cancel out and you are left with a false statement like 0 = 2, then you have no solutions and an inconsistent system.
Transcript Coming Soon!
Please enter your name.
Are you sure you want to delete this comment?
Experience the 'A-Ha!' moment with the best teachers
whom we hand-picked for you!
M.A. in Secondary Mathematics, Stanford University B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
“Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
“Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
“You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”