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Solve systems by substitution

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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Score/ 16

  1. Question 1

    Solve the system: y = 3x βˆ’ 27 and 5x + 4y = 11. Type the solution like (2, βˆ’3).

    Answer

  2. Question 2

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

    Answer

  3. Question 3

    Solve the system: y = βˆ’2x + 1 and 3x βˆ’ 4y = βˆ’37. Type the solution like (2, βˆ’3).

    Answer

  4. Question 4

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

    Answer

  5. Question 5

    Solve the system: y = 2x βˆ’ 7 and 3x βˆ’ 4y = βˆ’7. Type the solution like (2, βˆ’3).

    Answer

  6. Question 6

    Solve: x = 4y βˆ’ 1 and x + y = 4. Type the solution like (2, 3).

    Answer

  7. Question 7

    Solve the system: y = 3x + 17 and 5x + y = βˆ’23. Type the solution like (2, βˆ’3).

    Answer

  8. Question 8

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

    Answer

  9. Question 9

    Solve the system: y = βˆ’2x + 22 and 2x + 2y = 28. Type the solution like (2, βˆ’3).

    Answer

  10. Question 10

    Solve: x = 4y + 1 and x + y = 6. Type the solution like (2, 3).

    Answer

  11. Question 11

    Solve the system: y = x + 5 and 5x + y = 11. Type the solution like (2, βˆ’3).

    Answer

  12. Question 12

    Solve: x = 2y βˆ’ 13 and x + y = 11. Type the solution like (2, 3).

    Answer

  13. Question 13

    Solve the system: y = βˆ’3x + 4 and x βˆ’ 4y = 23. Type the solution like (2, βˆ’3).

    Answer

  14. Question 14

    Solve: x = 2y βˆ’ 11 and x + y = 13. Type the solution like (2, 3).

    Answer

  15. Question 15

    Solve the system: y = x βˆ’ 3 and 3x βˆ’ 4y = 13. Type the solution like (2, βˆ’3).

    Answer

  16. Question 16

    Solve: x = 3y βˆ’ 3 and x + y = 9. Type the solution like (2, 3).

    Answer

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  1. (7, βˆ’6)
  2. (8, 3)
  3. (βˆ’3, 7)
  4. (6, 1)
  5. (7, 7)
  6. (3, 1)
  7. (βˆ’5, 2)
  8. (8, 2)
  9. (8, 6)
  10. (5, 1)
  11. (1, 6)
  12. (3, 8)
  13. (3, βˆ’5)
  14. (5, 8)
  15. (βˆ’1, βˆ’4)
  16. (6, 3)