Presentation on theme: "I can solve systems of equations by graphing and analyze special systems."— Presentation transcript:
I can solve systems of equations by graphing and analyze special systems.
Two or more linear equations. Any ordered pair that makes the system of linear equations true is called a solution of a system of linear equations. Must satisfy all equations in the system. Can be used to model problems
There is more than one way to solve a system of equations. One method is to graph both equations and find the intersection (if one exists) EX: Find the solution to the system The graphs intersect at the point (2, 4) so that is the solution.
Plug your solution into each equation and check that it makes each equation true. Our solution was (2, 4) so: It is the solution.
A system that has at least one solution is consistent. Consistent systems with exactly one solution are called independent. Dependent systems are consistent and have infinitely many solutions. If there is no solution, the system is called inconsistent.