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Solve systems by substitution

Grade 9 math · Fieldbook Learning

Name ______________________ Date __________

Put the expression for y into the other equation.

  1. Solve the system: y = 2x + 10 and −4x − y = 14
  2. Solve the system: y = 3x + 12 and −2x − y = 13
  3. Solve the system: y = −x + 1 and 2x − y = 2
  4. Solve the system: y = x + 6 and −3x − 3y = 0
  5. Solve the system: y = 2x + 17 and −4x + y = 29
  6. Solve the system: y = −x + 1 and −2x + 5y = 40
  7. Solve the system: y = −x and 3x − y = 0
  8. Solve the system: y = −x + 3 and −4x − 3y = −7
  9. Solve the system: y = −4x + 10 and −4x + y = 2
  10. Solve the system: y = −4x + 28 and −5x + 4y = −77
  11. Solve the system: y = −2x − 3 and −4x + 2y = 18
  12. Solve the system: y = x and 4x − y = 15
  13. Solve the system: y = −x + 1 and 2x + 4y = 6
  14. Solve the system: y = 3x − 20 and 4x + 2y = −10
  15. Solve the system: y = x − 12 and 5x + 5y = 20
  16. Solve the system: y = −3x + 19 and −4x + 4y = 12
  17. Solve the system: y = −x + 8 and −x − 5y = −52
  18. Solve the system: y = −4x − 13 and −2x − 5y = 65
  19. Solve the system: y = −4x + 31 and −4x + 4y = 24
  20. Solve the system: y = x + 18 and 5x − 2y = −75
More free practice: fieldbooklearning.com/ca/practice/grade-9/solve-systems-by-substitution/

Answer key: Solve systems by substitution

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