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Solve systems of two linear equations

Grade 9 math · Fieldbook Learning

Name ______________________ Date __________

Eliminate one variable by adding or subtracting the equations, or substitute.

  1. Solve the system: 4x + y = −36 and 5x − 3y = −28
  2. Solve the system: x − 3y = 0 and −2x − y = 14
  3. Solve the system: 5x − 4y = −20 and x − y = −3
  4. Solve the system: −2x + 4y = −28 and 5x − y = 7
  5. Solve the system: −x + 4y = 28 and x − 3y = −22
  6. Solve the system: 3x + 4y = 39 and x + 4y = 29
  7. Solve the system: 3x + y = 5 and −4x − 4y = −28
  8. Solve the system: 4x + 2y = −42 and −2x − 3y = 31
  9. Solve the system: x + 3y = 5 and −5x − 2y = −12
  10. Solve the system: 5x − y = 17 and −3x + 3y = −3
  11. Solve the system: −3x − 4y = −10 and −x + y = 6
  12. Solve the system: 4x − 3y = −30 and 2x − 2y = −18
  13. Solve the system: −5x + 4y = 5 and −4x + y = 15
  14. Solve the system: x − 5y = −5 and −4x − 3y = −3
  15. Solve the system: 5x − y = 43 and −3x − 4y = −12
  16. Solve the system: 5x − y = −22 and −4x − y = 5
  17. Solve the system: x − 5y = 1 and 5x + 5y = −25
  18. Solve the system: 5x − 4y = −15 and 5x − y = −15
  19. Solve the system: 4x + 5y = −50 and 3x − 2y = −3
  20. Solve the system: −4x + 4y = −56 and −4x + 2y = −42
More free practice: fieldbooklearning.com/practice/grade-9/solve-systems-of-two-linear-equations/

Answer key: Solve systems of two linear equations

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