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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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  1. Question 1

    Solve: x = 4y βˆ’ 27 and x + y = 13. Type the solution like (2, 3).

    Answer

  2. Question 2

    Solve the system: y = 3x + 9 and 4x + 4y = βˆ’12. Type the solution like (2, βˆ’3).

    Answer

  3. Question 3

    Solve: x = 2y + 0 and x + y = 9. Type the solution like (2, 3).

    Answer

  4. Question 4

    Solve the system: y = 4x + 18 and x + 4y = βˆ’13. Type the solution like (2, βˆ’3).

    Answer

  5. Question 5

    Solve: x = 4y βˆ’ 22 and x + y = 13. Type the solution like (2, 3).

    Answer

  6. Question 6

    Solve the system: y = βˆ’4x βˆ’ 8 and x + 4y = βˆ’17. Type the solution like (2, βˆ’3).

    Answer

  7. Question 7

    Solve: x = 4y βˆ’ 12 and x + y = 8. Type the solution like (2, 3).

    Answer

  8. Question 8

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

    Answer

  9. Question 9

    Solve: x = 3y βˆ’ 19 and x + y = 13. Type the solution like (2, 3).

    Answer

  10. Question 10

    Solve the system: y = βˆ’2x + 13 and x βˆ’ y = 5. Type the solution like (2, βˆ’3).

    Answer

  11. Question 11

    Solve: x = 4y βˆ’ 8 and x + y = 7. Type the solution like (2, 3).

    Answer

  12. Question 12

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

    Answer

  13. Question 13

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

    Answer

  14. Question 14

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

    Answer

  15. Question 15

    Solve: x = 2y βˆ’ 9 and x + y = 12. Type the solution like (2, 3).

    Answer

  16. Question 16

    Solve the system: y = 4x + 25 and 3x + 3y = βˆ’15. Type the solution like (2, βˆ’3).

    Answer

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Answer key: Solve systems by substitution

  1. 1. (5, 8)

  2. 2. (βˆ’3, 0)

  3. 3. (6, 3)

  4. 4. (βˆ’5, βˆ’2)

  5. 5. (6, 7)

  6. 6. (βˆ’1, βˆ’4)

  7. 7. (4, 4)

  8. 8. (3, 5)

  9. 9. (5, 8)

  10. 10. (6, 1)

  11. 11. (4, 3)

  12. 12. (4, 0)

  13. 13. (3, 2)

  14. 14. (3, 3)

  15. 15. (5, 7)

  16. 16. (βˆ’6, 1)