More Lessons for Grade 11

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

Solving a System of Equations Involving 3 Variables

Using Elimination by Addition - Example 1

2x - y + z = 3

5x + 2y - 3z = 1

2x + y - z = 2

Using Elimination by Addition - Example 2

x + 2y + z = 12

2x - 2y - z = 6

x + 2y - z = 2

Using Elimination by Addition - Example 3

4x - 4y + 8z = 20

8x + 4y - 4z = 4

12x - 8y - 12z = -40

Dependent systems have infinitely many solutions.

Solve. If the system is dependent, let z = c and write the solutions in terms of c.

x + 2y + z = 0

3x + 2y -z = 4

-x + 2y + 3z = -4

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