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Solving Systems of Linear Equations by Graphing

- Systems of Linear Equations (2 variables). 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.

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Solving Systems of Linear Equations by Graphing

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  1. - Systems of Linear Equations (2 variables) 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

  2. - Systems of Linear Equations (2 variables) 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

  3. - Systems of Linear Equations (2 variables) 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

  4. Systems of Linear Equations Comments • If a system has a solution, call it consistent • If a system doesn’t have a solution, call it inconsistent • If , the system is called homogeneous. A homogeneous system always has the trivial solution • If two systems have the same solution, then they are called equivalent. The solution strategy for linear systems is to transform the system through a series of equivalent systems until the solution is obvious

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