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# Module 5

### Solving Systems of Linear Equations by Graphing and Substitution

Question | Answer |
---|---|

Solve the system of linear equations by graphing { x+y=2, x-y=0 | The solution of the system is (1,1). |

Solve the system of linear equations by graphing { 5x-y=6, 2x+y=8 | The solution of the system is (2,4). |

Solve the system of linear equations by graphing {x+y=5, x+y=6 | There is no solution. (The slopes are the same, but the y-intercepts are different, resulting in 2 parallel lines). |

Solve the system of linear equations by graphing {x=-5, y=8 | The solution of the system is (-5,8). |

Solve the system of linear equations by graphing {y-5x=-2, 1-x-2y=4 | Since both lines are identical, there are infinitely many solutions. |

If two lines intersect at one point, how many solutions does the system have? | One solution. |

If two lines are parallel, how many solutions does the system have? | There is no solution. |

If two lines are identical, how many solutions does the system have? | Infinite number of solutions |

Solve the system of equations using the substitution method. {x+y=4, x=3y | The solution of the system is (3,1). |

Solve the system of equations using the substitution method. {3x+2y=13, x=2y-1 | The solution of the system is (3,2). |

Created by:
ryanmsabo