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More Lessons for Grade 11 Math

Math Worksheets

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

**Systems of Three Variables**

Example:

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.

Example:

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**

Example:

Determine whether this system has no solutions or infinite solutions

2x - 4y + z = 3

8x - 2y + 4z =7

-4x + y - 2z = -14

More Lessons for Grade 11 Math

Math Worksheets

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

Example:

Solve this system

x + y - 3z = -10

x - y + 2z = 3

2x + y - z = -6

Solve the system

x + 2y + 5z = -17

2x - 3y + 2z = -16

3x + y - z = 3

Solve the following application problem using three equations with three unknowns.

Example:

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.

Example:

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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