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Systems of three equations

12th grade (Year 13 in England) Β· 16 questions Β· Common Core: HSA.REI.C.6

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Date

Score/ 16

  1. Question 1

    Solve: x + y + z = βˆ’1, x βˆ’ y + 2z = βˆ’11, 2x + y βˆ’ z = 7. What is z?

    Answer

  2. Question 2

    Solve: x + y + z = 8, x βˆ’ y + 2z = 7, 2x + y βˆ’ z = βˆ’2. What is x?

    Answer

  3. Question 3

    Solve: x + y + z = 1, x βˆ’ y + 2z = βˆ’10, 2x + y βˆ’ z = 7. What is x?

    Answer

  4. Question 4

    Solve: x + y + z = 3, x βˆ’ y + 2z = 12, 2x + y βˆ’ z = βˆ’7. What is z?

    Answer

  5. Question 5

    Solve: x + y + z = 14, x βˆ’ y + 2z = 4, 2x + y βˆ’ z = 16. What is y?

    Answer

  6. Question 6

    Solve: x + y + z = 4, x βˆ’ y + 2z = 0, 2x + y βˆ’ z = βˆ’8. What is y?

    Answer

  7. Question 7

    Solve: x + y + z = 4, x βˆ’ y + 2z = 17, 2x + y βˆ’ z = βˆ’3. What is z?

    Answer

  8. Question 8

    Solve: x + y + z = 8, x βˆ’ y + 2z = 18, 2x + y βˆ’ z = 0. What is z?

    Answer

  9. Question 9

    Solve: x + y + z = 1, x βˆ’ y + 2z = βˆ’11, 2x + y βˆ’ z = 3. What is y?

    Answer

  10. Question 10

    Solve: x + y + z = 5, x βˆ’ y + 2z = 13, 2x + y βˆ’ z = 7. What is x?

    Answer

  11. Question 11

    Solve: x + y + z = 13, x βˆ’ y + 2z = 5, 2x + y βˆ’ z = 15. What is z?

    Answer

  12. Question 12

    Solve: x + y + z = 5, x βˆ’ y + 2z = βˆ’2, 2x + y βˆ’ z = 10. What is z?

    Answer

  13. Question 13

    Solve: x + y + z = 8, x βˆ’ y + 2z = 6, 2x + y βˆ’ z = 8. What is z?

    Answer

  14. Question 14

    Solve: x + y + z = 3, x βˆ’ y + 2z = 10, 2x + y βˆ’ z = βˆ’8. What is z?

    Answer

  15. Question 15

    Solve: x + y + z = 6, x βˆ’ y + 2z = 1, 2x + y βˆ’ z = 13. What is z?

    Answer

  16. Question 16

    Solve: x + y + z = 4, x βˆ’ y + 2z = βˆ’9, 2x + y βˆ’ z = 5. What is y?

    Answer

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