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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
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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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Sample Problems (4)
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Solving a Linear System in Three Variables with a Solution
Problem 1 8,597 viewsSolve the system:
2x + y − z = 5x + 4y + 2x = 1615x + 6y − 2x = 12 
Solving a Linear System in Three Variables with a Solution
Problem 2 4,685 viewsSolve the system:
4a + 2b − 3c = 6a − 4b + c = 4a + 2c = 2 
Solving a Linear System in Three Variables with a Solution
Problem 3 507 views 
Solving a Linear System in Three Variables with a Solution
Problem 4 511 views
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