Presentation on theme: "UNIT 6.15 Special Solutions: Graphing I can identify special solutions within a system of equations graphically."— Presentation transcript:
UNIT 6.15 Special Solutions: Graphing I can identify special solutions within a system of equations graphically.
Vocabulary (review) One Solution of a System of Linear Equations: The intersection of all lines in the system. Or the values of the variables that are true for all equations in the system. Example: (1, 2) The solution of this linear system is (1, 2) or when x = 1, y = 2.
Vocabulary No Solution: A System of Linear Equations can have no solution when there is no point of intersection of the lines (i.e. when the lines are… ). Example: There is no solution in this linear system because there is no point of intersection! Parallel
Vocabulary Infinite Solutions: A System of Linear Equations can have infinite solutions when the equations describe the same line (i.e. when the lines … ) Example: There are infinite solutions in this linear system because the intersection includes ALL points on the line! Coincide
We already know we can solve Systems of Linear Equations graphically. Let’s try it with a method I call the Graph-and-check method. First, you …