Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Systems Solutions

### Types of Solutions for Systems of Equations

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

How many solutions does a system of equations have if the graph of the system is two lines which intersect? | One |

How many solutions does a system of equations have if the graph of the system is two lines which are parallel? | None |

How many solutions does a system of equations have if the graph of the system is two lines which are actually the same line? | Infinitely Many |

Two lines intersect at the point (3,5). How many solutions does this system of equations have? | One |

The following lines are graphed on the coordinate plane. y=3x + 4 y=3x - 8 How many solutions does this system of equations have? | None |

The following lines are graphed on the coordinate plane. y=2x -1 y=x + x -1 How many solutions does this system of equations have? | Infinitely Many |

The following lines are graphed on the coordinate plane. y=-4x +5 y=2x -7 How many solutions does this system of equations have? | One |

Two lines which have the same slope are graphed on the coordinate plane. One of them has a y-intercept of 10 while the other has a y-intercept of 2. How many solutions does this system of equations have? | None |

Two lines which have the same slope are graphed on the coordinate plane. They both pass through the point (9,4). How many solutions does this system of equations have? | Infinitely Many |

Two lines which have different slopes are graphed on the coordinate plane. They both pass through the point (-3,7). How many solutions does this system of equations have? | One |

Parallel lines are a system of equations with _____ solution(s). | No |

Intersecting lines are a system of equations with _____ solution(s). | One |

Coincident lines are a system of equations with _____ solution(s). | Infinitely Many |

Two lines which are directly on top of each other when graphed are a system of equations with _____ solution(s). | Infinitely Many |

When solving a system of equations algebraically, Bruno reaches a step in his algebra which says 7=6. The system of equations has ____ solution(s). | No |

When solving a system of equations algebraically, Mary reaches a step in her algebra which says 0=0. The system of equations has ____ solution(s). | Infinitely Many |

When solving a system of equations algebraically, Yesenia reaches a step in her algebra which says 0=x. The system of equations has ____ solution(s). | One |

Created by:
emilylake731