Linear Systems
November 28, 2016
Outline
• Essential Question
• Solving Linear Equation Systems by
Graphing
• Examples
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