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Solve a system by elimination: multiply one equation

Grade 8 math · 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: 4x + 5y = 7 and 12x + 2y = 34. Write your answer as (x, y).
  2. Solve the system: −3x − 4y = −18 and −6x + 2y = 24. Write your answer as (x, y).
  3. Solve the system: 3x − 2y = −25 and 9x + 5y = −20. Write your answer as (x, y).
  4. Solve the system: 5x + 4y = 27 and 10x + 4y = 42. Write your answer as (x, y).
  5. Solve the system: 2x − 5y = 15 and 4x + 6y = 14. Write your answer as (x, y).
  6. Solve the system: −4x − 6y = 18 and −8x + 6y = −18. Write your answer as (x, y).
  7. Solve the system: −2x − 2y = −22 and −6x − 4y = −58. Write your answer as (x, y).
  8. Solve the system: −2x − 2y = 14 and −8x − 5y = 56. Write your answer as (x, y).
  9. Solve the system: −2x + 6y = −60 and −4x + 7y = −80. Write your answer as (x, y).
  10. Solve the system: −2x − 3y = 19 and −6x − 2y = 50. Write your answer as (x, y).
  11. Solve the system: x + 2y = 6 and 2x − 5y = −33. Write your answer as (x, y).
  12. Solve the system: 3x − 2y = −12 and 6x − y = −33. Write your answer as (x, y).
  13. Solve the system: −x + 6y = −62 and −4x − 6y = 112. Write your answer as (x, y).
  14. Solve the system: 2x − y = −6 and 6x + 4y = −102. Write your answer as (x, y).
  15. Solve the system: −x + 7y = 10 and −2x + 4y = 10. Write your answer as (x, y).
  16. Solve the system: −2x + y = −30 and −4x + y = −50. Write your answer as (x, y).
  17. Solve the system: 4x − 9y = −115 and 12x − 9y = −147. Write your answer as (x, y).
  18. Solve the system: −2x + 3y = 54 and −4x − 3y = 18. Write your answer as (x, y).
  19. Solve the system: 3x + 9y = 15 and 9x − 4y = 76. Write your answer as (x, y).
  20. Solve the system: −3x − 3y = −6 and −12x + 3y = −39. Write your answer as (x, y).
More free practice: fieldbooklearning.com/ca/practice/grade-8/solve-a-system-by-elimination-multiply-one-equation/

Answer key: Solve a system by elimination: multiply one equation

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