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Solve a system of equations in standard form

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: −5x − 4y = −25 and 3x − 2y = −7. Write your answer as (x, y).
  2. Solve the system: 3x + 3y = 6 and 4x + 3y = 5. Write your answer as (x, y).
  3. Solve the system: −4x − 5y = 17 and 3x − 2y = 16. Write your answer as (x, y).
  4. Solve the system: x − 4y = 10 and x + 3y = −4. Write your answer as (x, y).
  5. Solve the system: 4x − 2y = 8 and 3x + 4y = 50. Write your answer as (x, y).
  6. Solve the system: x − 5y = −9 and −4x + 6y = 8. Write your answer as (x, y).
  7. Solve the system: −5x + y = −27 and 3x + 3y = 9. Write your answer as (x, y).
  8. Solve the system: −2x − 3y = 8 and −2x + 3y = −40. Write your answer as (x, y).
  9. Solve the system: −4x + 3y = 12 and x − 7y = 47. Write your answer as (x, y).
  10. Solve the system: −5x + y = 12 and x + 3y = 20. Write your answer as (x, y).
  11. Solve the system: −x + 5y = −15 and −7x − 2y = −68. Write your answer as (x, y).
  12. Solve the system: 4x − 2y = −60 and 3x + 4y = 10. Write your answer as (x, y).
  13. Solve the system: −2x − 7y = 108 and 2x + y = −36. Write your answer as (x, y).
  14. Solve the system: 8x + 6y = 22 and −8x + y = −43. Write your answer as (x, y).
  15. Solve the system: −2x − y = −19 and −3x + 6y = −51. Write your answer as (x, y).
  16. Solve the system: 2x + 7y = −91 and −4x − y = 39. Write your answer as (x, y).
  17. Solve the system: −2x + 4y = −58 and −x + 3y = −37. Write your answer as (x, y).
  18. Solve the system: 3x + 3y = 21 and 8x + 7y = 63. Write your answer as (x, y).
  19. Solve the system: 3x − 8y = 67 and −2x + 9y = −63. Write your answer as (x, y).
  20. Solve the system: −3x + 4y = −18 and 8x − 2y = 100. Write your answer as (x, y).
More free practice: fieldbooklearning.com/ca/practice/grade-8/solve-a-system-of-equations-in-standard-form/

Answer key: Solve a system of equations in standard form

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