Linear Systems November 28, 2016.

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Presentation transcript:

Linear Systems November 28, 2016

Outline Essential Question Solving Linear Equation Systems by Graphing Examples

How do I solve a system of linear equations by graphing? Essential Question How do I solve a system of linear equations by graphing?

Solving Linear Equation Systems by Graphing Three Types One solution No solutions Infinitely many solutions

Solving Linear Equation Systems by Graphing One Solution Two lines cross at one point on graph That point is the only solution for both equations

Solving Linear Equation Systems by Graphing One Solution

Solving Linear Equation Systems by Graphing No solutions Two lines that never will cross or intersect AKA parallel There is no solution that will satisfy both equations

Solving Linear Equation Systems by Graphing No solutions

Solving Linear Equation Systems by Graphing Infinitely many solutions Two lines that cross or intersect at many points The lines share all of the same points

Solving Linear Equation Systems by Graphing Infinitely many solutions

Examples