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Cramer's rule with three equations Quiz: printable

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Cramer's rule with three equations Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/cramer-s-rule-with-three-equations/quiz/

  1. 1

    Solve x + y + z = 6, 2x โˆ’ y + z = 3, x + 2y โˆ’ z = 2 by Cramer's rule

    Answer: ____________________

  2. 2

    Solve x + 2y + z = 14, 2x + z = 10, 2x + y + z = 14 by Cramer's rule

    Answer: ____________________

  3. 3

    Solve 3x + y = 1, 2x + 2y + z = โˆ’1, 3x + 2y + z = 0 by Cramer's rule

    Answer: ____________________

  4. 4

    Solve x โˆ’ y + z = 1, 3x โˆ’ y + z = 5, 2x + y + z = 9 by Cramer's rule

    Answer: ____________________

  5. 5

    Solve 3x + 2y + z = 11, x + y โˆ’ z = 2, 2x + y = 5 by Cramer's rule

    Answer: ____________________

  6. 6

    Solve x + 2y + z = 2, 3x + y = 10, x + y = 2 by Cramer's rule

    Answer: ____________________

  7. 7

    Solve 3x + y + z = 11, x + y โˆ’ z = 7, 2x + y + 3z = 6 by Cramer's rule

    Answer: ____________________

  8. 8

    Solve x + 3z = 5, 2x โˆ’ y + 3z = 5, x + 3y + 3z = 11 by Cramer's rule

    Answer: ____________________

  9. 9

    Solve x + 3y = โˆ’3, x + 2y + 3z = โˆ’7, 2x + 3y + z = โˆ’2 by Cramer's rule

    Answer: ____________________

  10. 10

    Solve x + 2z = 2, x + 2y + z = โˆ’2, x โˆ’ y โˆ’ z = โˆ’3 by Cramer's rule

    Answer: ____________________

Answer key

  1. (x, y, z) = (1, 2, 3)
  2. (x, y, z) = (4, 4, 2)
  3. (x, y, z) = (1, โˆ’2, 1)
  4. (x, y, z) = (2, 3, 2)
  5. (x, y, z) = (1, 3, 2)
  6. (x, y, z) = (4, โˆ’2, 2)
  7. (x, y, z) = (3, 3, โˆ’1)
  8. (x, y, z) = (2, 2, 1)
  9. (x, y, z) = (3, โˆ’2, โˆ’2)
  10. (x, y, z) = (โˆ’2, โˆ’1, 2)

Every answer solved step by step: steplyclass.com/algebra-2/cramer-s-rule-with-three-equations/quiz/answers/