# Systems of equations

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

This course contains 8 segments:

**Systems of equations overview**

This video series covers everything you need to know about systems of equations, through stories about trolls, kings, and cupcakes!

**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.

## Get a Reminder

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

Length | 8 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 |

## Get a Reminder

## Similar Courses

## Careers

An overview of related careers and their average salaries in the US. Bars indicate income percentile.

Award Winning Photojournalist, Microwave Engineer, Non-Linear Editor $51k

Non-Linear Video Technician $64k

Software Engineer, Linear TV $67k

Non-linear Editing Specialist $68k

Senior Planning Analyst-Linear Solutions $79k

Linear Maintenance Technician $83k

## Write a review

Your opinion matters. Tell us what you think.

##### Please login to leave a review

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

Length | 8 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 |

## Similar Courses

Sorted by relevance

## Like this course?

Here's what to do next:

- Save this course for later
- Get
__more details__from the course provider - Enroll in this course