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Solving Systems of Three Equations (Algebra 2)

Free printable Algebra 2 algebra worksheet on solving systems of three linear equations in three variables by elimination, with unique integer solutions.

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Algebra 2 · Math worksheet
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Algebra 2: Solving Systems of Three Equations

Solve each system of three linear equations in three variables. Every system has a unique solution; give x, y and z as exact integers.

  1. 1.
    Solve the system: x + y + z = -12; 3x + y + 4z = -38; -4x - y + 2z = 6
  2. 2.
    Solve the system: x + 2y - 3z = -1; 3x + 2y - 4z = -6; 3x + y - 3z = -7
  3. 3.
    Solve the system: -3x + 3y + z = -3; -3x - y + 4z = -37; x - 3y + 2z = -21
  4. 4.
    Solve the system: -x + 2y - 3z = -11; -2x - y + z = 11; -x + y - 2z = -6
  5. 5.
    Solve the system: -3x - 2y - 3z = 9; 3x + y + 2z = -14; 2x - 3y - 3z = -27
  6. 6.
    Solve the system: -x - 4y - z = -21; -x - y - 2z = -1; 2x - 4y + 4z = -28
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