Systems of Three Equations Worksheet
Practice solving systems of three linear equations using various methods.
Includes
Standards
Systems of Three Equations
Name:
Date:
Score:
Solve each system of three linear equations. Show all your work clearly.
1. Solve the following system of equations:
x + y + z = 6
2x - y + 3z = 9
-x + 2y + 2z = 9
2. Find the solution to the system:
3x - y + z = -15
x + 2y - z = 1
2x + 3y - 2z = 0
3. Determine the values of x, y, and z that satisfy the system:
x + y - z = 4
3x - 2y + 4z = 11
2x + 3y + z = 13
4. Which of the following is a solution to the system:
x - y + z = 0
2x + y - z = 3
x + 2y + z = 9
(1, 2, 1)
(2, 3, 1)
(1, 3, 2)
(2, 1, -1)
5. A system of three linear equations can have exactly two solutions.
True
False
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