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### Course: Algebra (all content) > Unit 5

Lesson 3: Equivalent systems of equations and the elimination method- Systems of equations with elimination: King's cupcakes
- Systems of equations with elimination: x-4y=-18 & -x+3y=11
- Systems of equations with elimination
- Systems of equations with elimination: potato chips
- Systems of equations with elimination (and manipulation)
- Systems of equations with elimination challenge
- Why can we subtract one equation from the other in a system of equations?
- Worked example: equivalent systems of equations
- Worked example: non-equivalent systems of equations
- Reasoning with systems of equations
- Solving systems of equations by elimination (old)
- Elimination method review (systems of linear equations)
- Equivalent systems of equations review

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# Systems of equations with elimination (and manipulation)

In some cases, we need to slightly manipulate a system of equations before we can solve it using the elimination method. See how it's done in this video. Created by Sal Khan.

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