1. 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

2. 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

3. 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

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