Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Solving a Linear System in Three Variables with a Solution - Problem 4

Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Your goal in solving a 3 x 3 system of equations is to get it down to a 2 x 2 system that you can solve more easily. One strategy for doing this is to label your original equations 1, 2, 3 and then make notes about how you will multiply one equation by some scalar and add it to another equation to eliminate one variable. then you will need to find some other linear combination involving the remaining original equation to eliminate that same variable. If done correctly, you will have only two variables left with two equations to solve using elimination or substitution.

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