10c + 3s = 82

5c + 8s = 67

Equation 1 is in the correct format.

Equation 2 is in the correct format.

5 * (10c+3s=82) --> 50c + 15s = 410

10 * (5c+8s=67) --> 50c + 80s = 670

50c + 15s = 410 - (50c + 80s = 670)

-(50c + 80s = 670)

15s - 80s = 410 - 670

-65s = -260

s = | -260 |

-65 |

s = 4

10c = 82 - 3s

10c | |

10 |

= |

82 - 3s |

10 |

c = | 82 - 3s |

10 |

c = | 82 - 3(4) |

10 |

c = | 82 - 12 |

10 |

c = | 70 |

10 |

c = 7

- What are the 3 methods to solve a system of 2 equations?
- With the elimination method, what are you trying to eliminate?

CCSS.MATH.CONTENT.8.EE.C.8,CCSS.MATH.CONTENT.8.EE.C.8.B

c = 7

Free Simultaneous Equations Calculator - Solves a system of simultaneous equations with 2 unknowns using the following 3 methods:

1) Substitution Method (Direct Substitution)

2) Elimination Method

3) Cramers Method or Cramers Rule Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknowns

This calculator has 2 inputs.

1) Substitution Method (Direct Substitution)

2) Elimination Method

3) Cramers Method or Cramers Rule Pick any 3 of the methods to solve the systems of equations 2 equations 2 unknowns

This calculator has 2 inputs.

- cramers rule
- an explicit formula for the solution of a system of linear equations with as many equations as unknowns
- eliminate
- to remove, to get rid of or put an end to
- equation
- a statement declaring two mathematical expressions are equal
- simultaneous equations
- two or more algebraic equations that share variables
- substitute
- to put in the place of another. To replace one value with another
- unknown
- a number or value we do not know
- variable
- Alphabetic character representing a number

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