Graphing systems of linear equations and inequalities

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Presentation transcript:

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

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

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

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Graphing

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

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

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

Solving Systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Graphing

Graphing Inequalities in Two Variables Graph the Union.

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

Graphing Inequalities in Two Variables Graph the union.

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

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