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Solve systems by elimination

Grade 9 math · Fieldbook Learning

Name ______________________ Date __________

Add the equations so one letter disappears.

  1. Solve the system: −3x − 5y = −5 and −3x + 5y = −25
  2. Solve the system: −3x − 3y = 21 and −2x + 3y = −1
  3. Solve the system: −x − 3y = −16 and −2x + 3y = 13
  4. Solve the system: −3x − y = −1 and 4x + y = 0
  5. Solve the system: −3x + y = −16 and 4x − y = 21
  6. Solve the system: −x + 5y = 18 and −2x − 5y = −24
  7. Solve the system: x + 5y = 9 and −2x − 5y = −8
  8. Solve the system: 2x − 4y = 8 and −3x + 4y = −2
  9. Solve the system: 4x − 5y = −47 and 4x + 5y = 23
  10. Solve the system: 4x − 2y = 24 and −3x + 2y = −17
  11. Solve the system: −2x + 4y = 22 and −x − 4y = −43
  12. Solve the system: −x − 3y = −29 and 4x + 3y = 44
  13. Solve the system: −4x + 4y = 4 and −x − 4y = −19
  14. Solve the system: 3x − y = 21 and −2x + y = −18
  15. Solve the system: −3x − 2y = 36 and 4x + 2y = −46
  16. Solve the system: −3x + 4y = −15 and −4x − 4y = −48
  17. Solve the system: 2x − 4y = −24 and 4x + 4y = 84
  18. Solve the system: 3x − 3y = 12 and −x + 3y = 16
  19. Solve the system: x + 2y = 1 and −2x − 2y = −10
  20. Solve the system: −3x − 3y = 60 and −x + 3y = −20
More free practice: fieldbooklearning.com/practice/grade-9/solve-systems-by-elimination/

Answer key: Solve systems by elimination

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