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Solve a system by substitution: one equation solved for y

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Use substitution or elimination so that you find x and y. Write your answer as (x, y).

  1. Solve the system: y = 3x + 12 and x + 3y = −14. Write your answer as (x, y).
  2. Solve the system: y = −x − 1 and x − 3y = 11. Write your answer as (x, y).
  3. Solve the system: y = −x − 9 and x + 2y = −15. Write your answer as (x, y).
  4. Solve the system: y = 3x + 6 and 2x − y = −2. Write your answer as (x, y).
  5. Solve the system: y = −x − 8 and x + 2y = −9. Write your answer as (x, y).
  6. Solve the system: y = 5x − 10 and x + y = −4. Write your answer as (x, y).
  7. Solve the system: y = −3x − 27 and 3x + 2y = −33. Write your answer as (x, y).
  8. Solve the system: y = 6x − 43 and 2x − y = 19. Write your answer as (x, y).
  9. Solve the system: y = 6x + 26 and x − 3y = 7. Write your answer as (x, y).
  10. Solve the system: y = 3x + 9 and x + 3y = −3. Write your answer as (x, y).
  11. Solve the system: y = −4x + 34 and x − y = −4. Write your answer as (x, y).
  12. Solve the system: y = −2x − 14 and x + 2y = −19. Write your answer as (x, y).
  13. Solve the system: y = 8x + 12 and 3x − 3y = −15. Write your answer as (x, y).
  14. Solve the system: y = −x − 1 and 3x − 3y = 45. Write your answer as (x, y).
  15. Solve the system: y = −7x − 76 and x − 2y = −28. Write your answer as (x, y).
  16. Solve the system: y = −2x − 2 and 3x − 2y = −3. Write your answer as (x, y).
  17. Solve the system: y = −8x − 1 and 3x + 2y = 11. Write your answer as (x, y).
  18. Solve the system: y = 3x + 4 and x − 2y = −18. Write your answer as (x, y).
  19. Solve the system: y = −2x + 33 and 3x + 3y = 63. Write your answer as (x, y).
  20. Solve the system: y = 3x − 54 and 2x + y = 11. Write your answer as (x, y).
More free practice: fieldbooklearning.com/uk/practice/year-9/solve-a-system-by-substitution-one-equation-solved-for-y/

Answer key: Solve a system by substitution: one equation solved for y

  1. (-5, -3)
  2. (2, -3)
  3. (-3, -6)
  4. (-4, -6)
  5. (-7, -1)
  6. (1, -5)
  7. (-7, -6)
  8. (6, -7)
  9. (-5, -4)
  10. (-3, 0)
  11. (6, 10)
  12. (-3, -8)
  13. (-1, 4)
  14. (7, -8)
  15. (-12, 8)
  16. (-1, 0)
  17. (-1, 7)
  18. (2, 10)
  19. (12, 9)
  20. (13, -15)