Learn math, science, English SAT & ACT from
highquaility study
videos by expert teachers
Learn math, science, English SAT & ACT from
highquaility study videos by expert teachers
Next video playing in 10
Solving a System of Linear Equations in Two Variables  Problem 11
Cancel More videos
Solving a System of Linear Equations in Two Variables  Problem 10
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
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?
Alissa Fong
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.
Sample Problems (18)
Need help with a problem?
Watch expert teachers solve similar problems.

Solving a System of Linear Equations in Two Variables
Problem 1 10,796 viewsSolve the system:
4x − 2y = 7x + 2y = 3 
Solving a System of Linear Equations in Two Variables
Problem 2 6,783 viewsSolve the system:
2x − 4y = 35x + 10y = 7 
Solving a System of Linear Equations in Two Variables
Problem 3 5,443 viewsSolve the system:
6x + 21y = 12x + 7 y = 2 2 
Solving a System of Linear Equations in Two Variables
Problem 4 895 views 
Solving a System of Linear Equations in Two Variables
Problem 5 838 views 
Solving a System of Linear Equations in Two Variables
Problem 6 830 views 
Solving a System of Linear Equations in Two Variables
Problem 7 693 views 
Solving a System of Linear Equations in Two Variables
Problem 8 763 views 
Solving a System of Linear Equations in Two Variables
Problem 9 631 views 
Solving a System of Linear Equations in Two Variables
Problem 10 722 views 
Solving a System of Linear Equations in Two Variables
Problem 11 655 views 
Solving a System of Linear Equations in Two Variables
Problem 12 472 views 
Solving a System of Linear Equations in Two Variables
Problem 13 486 views 
Solving a System of Linear Equations in Two Variables
Problem 14 420 views 
Solving a System of Linear Equations in Two Variables
Problem 15 448 views 
Solving a System of Linear Equations in Two Variables
Problem 16 415 views 
Solving a System of Linear Equations in Two Variables
Problem 17 411 views 
Solving a System of Linear Equations in Two Variables
Problem 18 447 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete