Solving Systems of Equations by Graphing



Tuesday, January 8, 2013

Solving Systems of Equations by Graphing

A “system” of equations is _____________________________________.

The system can be solved by graphing the lines.

|Solutions |Graphing |Substitution |Elimination |Terminology |

| | | | | |

|(x,y) | |(x,y) |(x,y) |Independent |

| | | | | |

|[pic] | | | | |

| | |False Stmt. |False stmt. |Inconsistent |

|Infinitely many | | | | |

| | |True Stmt. |True Stmt. |Dependent |

Examples: Solve each system by graphing and check by plugging your solution into each equation.

1) [pic] 2) [pic]

Solution: ________ Solution: ________

System is __________________ System is ___________

3) [pic] 4) [pic]

Solution: ________ Solution: ________

System is __________________ System is ___________

5) [pic] 6) [pic]

Solution: ________ Solution: ________

System is __________________ System is ___________

A.59 p. 118 #1-4, 27-29, 33, 36 (sketch the graph given and state solution)

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x

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x

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x

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x

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x

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