# Systems of equations

This course is a part of
**Algebra I**, a 17-course Topic series from Khan Academy.

Learn how to interpret solutions to systems of linear equations and solve them.

This course contains 7 segments:

**Introduction to systems of equations**

Learn what "systems of equations" are, what counts as a solution to such a system, and how we can use graphs to solve them.

**Equivalent systems of equations and the elimination method**

Learn about the elimination method, which is a way manipulate systems of equations in order to solve them algebraically. This is actually very similar to the way we manipulate single equations in order to solve them!

**Solving systems of equations with substitution**

Learn about the substitution method, which is another way to manipulate systems of equations in order to solve them.

**Manipulating expressions with unknown variables**

Learn how to rewrite expressions with variables whose values are unknown, by using another information about those variables. For example, given that a+b=0, express a*b in terms of b alone.

**Number of solutions to systems of equations**

Learn about the possible number of solutions of systems of linear equations. Spoiler: There can be a single solution, zero solutions, or infinite solutions. These different cases define the distinctions between "consistent" and "inconsistent" systems, and between "dependent" and "independent" systems.

**Solving any system of linear equations**

Use everything you learned so far in order to solve any kind of system of equations!

**Systems of equations word problems**

Now that we are able to solve any kind of system we are given, it's time to use that knowledge to solve some word problems.

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Rating | Not enough ratings |
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Length | 7 segments |

Starts | On Demand (Start anytime) |

Cost | Free |

From | Khan Academy |

Download Videos | On all desktop and mobile devices |

Language | English |

Subjects | Mathematics |

Tags | Math Algebra I |

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Rating | Not enough ratings |
---|---|

Length | 7 segments |

Starts | On Demand (Start anytime) |

Cost | Free |

From | Khan Academy |

Download Videos | On all desktop and mobile devices |

Language | English |

Subjects | Mathematics |

Tags | Math Algebra I |

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