# Systems of equations

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Systems of equations with graphing

Systems of equations with elimination challenge

Systems of equations with substitution

Number of solutions to a system of equations algebraically

Linear systems of equations capstone

Contents

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

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

Learn about the elimination method, which is a way to 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!

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

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.

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