Solving 3 variable systems of equations by elimination
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Examples
Lessons
- Solving Three Variable Systems of Equations by Elimination – (Easy)
Solve the following system of equations by elimination:
x−4y+z=−12
x+3y−z=6
2x−2y+z=5
- Solving Three Variable Systems of Equations by Elimination – (Medium)
Solve the following system of equations by elimination:
4x−3y+2z=20
−2x−4y+3z=3
x+y−z=2
- Solving Three Variable Systems of Equations by Elimination – (Hard)
Solve the following system of equations by elimination:
x+4y+7z=109
4x−5y+4z=−29
5x+y−z=10
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Topic Notes
The idea of elimination is to convert 3 equations with 3 variables to 2 equations with 2 variables, then to 1 equation with 1 variable.
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