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Graphing systems of linear equations and inequalities

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Presentation on theme: "Graphing systems of linear equations and inequalities"— Presentation transcript:

1 Graphing systems of linear equations and inequalities
2.6 Graphing systems of linear equations and inequalities

2 Solving Systems of Linear Equations by Graphing
Determine whether (3, 9) is a solution of the following system.

3 Solving Systems of Linear Equations by Graphing
Determine whether (3, -2) is a solution of the following system.

4 Solving Systems of Linear Equations by Graphing

5 Solving Systems of Linear Equations by Graphing

6 Solving Systems of Linear Equations by Graphing

7 Solving Systems of Linear Equations by Graphing
Special Systems of Linear Equations Consistent system has at least one solution. Inconsistent system has no solution. Independent equations have different graphs. Dependent equations have identical graphs. Consistent system Independent equations

8 Solving Systems of Linear Equations by Graphing
Special Systems of Linear Equations Consistent system has at least one solution. Inconsistent system has no solution. Independent equations have different graphs. Dependent equations have identical graphs. Inconsistent system Independent equations

9 Solving Systems of Linear Equations by Graphing
Special Systems of Linear Equations Consistent system has at least one solution. Inconsistent system has no solution. Independent equations have different graphs. Dependent equations have identical graphs. Consistent system Dependent equations

10 Solving Systems of Linear Equations by Graphing

11 Solving Systems of Linear Equations by Graphing

12 Graphing Inequalities in Two Variables
Graph the Union.

13 Graphing Inequalities in Two Variables
Graph the solution (Graph the intersection).

14 Graphing Inequalities in Two Variables
Graph the union.

15 Graphing Inequalities in Two Variables
Graph the solution. (Graph the intersection)

16 Graphing Inequalities in Two Variables
Graph the solution. (Graph the intersection)


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