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Solve a system by elimination: opposite coefficients

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: 3x − 3y = −9 and −3x − 2y = 4. Write your answer as (x, y).
  2. Solve the system: 2x + 2y = −14 and −2x − y = 13. Write your answer as (x, y).
  3. Solve the system: x − 2y = −12 and −x − 3y = −18. Write your answer as (x, y).
  4. Solve the system: 2x − y = 9 and −2x + 4y = −24. Write your answer as (x, y).
  5. Solve the system: 3x + 6y = 0 and −3x + 5y = 11. Write your answer as (x, y).
  6. Solve the system: 3x − 4y = −2 and −3x − 6y = −48. Write your answer as (x, y).
  7. Solve the system: 3x − 6y = 57 and −3x − y = −1. Write your answer as (x, y).
  8. Solve the system: 5x − 6y = −73 and −5x + 5y = 65. Write your answer as (x, y).
  9. Solve the system: 6x − 7y = −96 and −6x − 5y = 24. Write your answer as (x, y).
  10. Solve the system: 4x − 4y = −24 and −4x + y = 6. Write your answer as (x, y).
  11. Solve the system: 4x − 4y = 4 and −4x + 3y = −12. Write your answer as (x, y).
  12. Solve the system: 2x + 3y = −20 and −2x + 3y = 8. Write your answer as (x, y).
  13. Solve the system: x − 8y = 4 and −x + 6y = −6. Write your answer as (x, y).
  14. Solve the system: 5x − 6y = −62 and −5x + 2y = 34. Write your answer as (x, y).
  15. Solve the system: 5x − y = 29 and −5x − 8y = −38. Write your answer as (x, y).
  16. Solve the system: 7x + 3y = 48 and −7x − 5y = −38. Write your answer as (x, y).
  17. Solve the system: 5x + 9y = 139 and −5x − 7y = −117. Write your answer as (x, y).
  18. Solve the system: 6x − 3y = 42 and −6x − 5y = 70. Write your answer as (x, y).
  19. Solve the system: 3x + 4y = 60 and −3x + 6y = 60. Write your answer as (x, y).
  20. Solve the system: x − 5y = 44 and −x − 3y = 4. Write your answer as (x, y).
More free practice: fieldbooklearning.com/ca/practice/grade-8/solve-a-system-by-elimination-opposite-coefficients/

Answer key: Solve a system by elimination: opposite coefficients

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