Systems of Three Equations Worksheet
This worksheet provides practice problems for solving systems of three linear equations using various algebraic methods.
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Systems of Three Equations
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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 - 2y + z = 12
x + 3y - z = -11
2x - y + 2z = 9
3. Consider the system: x + y + z = 2, 2x - y + z = 5, and x + 2y - z = -1. The value of x is , y is , and z is .
4. Solve for x, y, and z:
x - y + 2z = 7
2x + y + z = 1
-3x + 2y - z = -10
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