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Solve systems by elimination

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.EE.C.8.B Β· England: KS3 Algebra, GCSE Foundation Algebra

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  1. Question 1

    Solve: x + 5y = 47 and 3x βˆ’ 5y = βˆ’39. Type the solution like (2, βˆ’3).

    Answer

  2. Question 2

    Solve: 2x + 4y = 36 and 4x + y = 37. Type the solution like (2, βˆ’3).

    Answer

  3. Question 3

    Solve: x + y = βˆ’4 and 2x βˆ’ y = βˆ’8. Type the solution like (2, βˆ’3).

    Answer

  4. Question 4

    Solve: 2x + y = 7 and 4x + 3y = 17. Type the solution like (2, 3).

    Answer

  5. Question 5

    Solve: 3x + 2y = 10 and 3x βˆ’ 2y = 14. Type the solution like (2, βˆ’3).

    Answer

  6. Question 6

    Solve: x + 2y = 11 and 3x βˆ’ 3y = βˆ’12. Type the solution like (2, βˆ’3).

    Answer

  7. Question 7

    Solve: x + 5y = 19 and 5x βˆ’ 5y = 5. Type the solution like (2, βˆ’3).

    Answer

  8. Question 8

    Solve: x + 3y = βˆ’6 and 2x + 2y = βˆ’8. Type the solution like (2, βˆ’3).

    Answer

  9. Question 9

    Solve: 3x + 4y = βˆ’10 and x βˆ’ 4y = βˆ’14. Type the solution like (2, βˆ’3).

    Answer

  10. Question 10

    Solve: 4x + 2y = 14 and 12x + y = 27. Type the solution like (2, βˆ’3).

    Answer

  11. Question 11

    Solve: 4x + 4y = 60 and 2x βˆ’ 4y = βˆ’6. Type the solution like (2, βˆ’3).

    Answer

  12. Question 12

    Solve: 2x + y = 20 and 4x + y = 34. Type the solution like (2, βˆ’3).

    Answer

  13. Question 13

    Solve: 5x + 5y = βˆ’5 and 2x βˆ’ 5y = 5. Type the solution like (2, βˆ’3).

    Answer

  14. Question 14

    Solve: 2x + 3y = 16 and 6x + y = 0. Type the solution like (2, βˆ’3).

    Answer

  15. Question 15

    Solve: 3x + 4y = βˆ’4 and 2x βˆ’ 4y = 4. Type the solution like (2, βˆ’3).

    Answer

  16. Question 16

    Solve: 2x + 2y = βˆ’6 and 4x + 2y = βˆ’8. Type the solution like (2, βˆ’3).

    Answer

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Answer key: Solve systems by elimination

  1. 1. (2, 9)

  2. 2. (8, 5)

  3. 3. (βˆ’4, 0)

  4. 4. (2, 3)

  5. 5. (4, βˆ’1)

  6. 6. (1, 5)

  7. 7. (4, 3)

  8. 8. (βˆ’3, βˆ’1)

  9. 9. (βˆ’6, 2)

  10. 10. (2, 3)

  11. 11. (9, 6)

  12. 12. (7, 6)

  13. 13. (0, βˆ’1)

  14. 14. (βˆ’1, 6)

  15. 15. (0, βˆ’1)

  16. 16. (βˆ’1, βˆ’2)