I can solve systems of equations by graphing and analyze special systems.

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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.

 Odds  P.367 #11-29