# The solutions to systems of equations

A system of equations is a collection of two or more equations with a same set of unknowns. Try to find values that will satisfy every equation in the system.

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System's and their solutions.

Can you identify the type of solution(s) for each system of equations?

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Systems of Equations | Solutions | Category |
---|---|---|

{y = 0.5x + 2 {y= 1/2x -2 | No Solution | No Solution |

{3x-y =-8 {3x - y =-4 | No Solution | No Solution |

{y=3x-5 {3x - y=-5 | No solution | No Solution |

{y = x + 5 {y= 2x +7 | (-2, 3) | One solution |

{4x+2y =2 {3x - 2y = 12 | (2, -3 ) | One solution |

{y= 3x - 7 {x + y = 5 | (3, 2 ) | One solution |

{y= -5x + 9 {2y = -10x + 18 | Infinitely many solutions | Infinitely many solutions |

{12x + 6y = 12 {6x + 3y = 6 | Infinitely many solutions | Infinitely many solutions |

{4y = -8x + 12 {2x + y =3 | Infinitely many solutions | Infinitely many solutions |