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Systems of Three Variables

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Examples, videos, worksheets, solutions, and activities to help Algebra students learn how to solve systems of equations involving three variables.

Systems of Three Variables
Solve this system
x + y - 3z = -10
x - y + 2z = 3
2x + y - z = -6
Systems of Three Variables 2
Solve the system
x + 2y + 5z = -17
2x - 3y + 2z = -16
3x + y - z = 3

Three Equation Application Problem
Solve the following application problem using three equations with three unknowns.
The second angle of a triangle is 50 degrees less than 4 times the first angle. The third angle is 40 degrees less than th first. Find the measures of the three angles.
Solutions to Three Variable System
Determine whether this system has no solutions or infinite solutions
2x - 4y + z = 3
8x - 2y + 4z =7
-4x + y - 2z = -14

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