Solving Systems of Linear Equations by Graphing

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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. Dependent equations have identical graphs. Consistent system Independent equations

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. Dependent equations have identical graphs. Inconsistent system Independent equations

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. Dependent equations have identical graphs. Consistent system Dependent equations

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