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Systems of Equations Worksheet

Recommended for 8th Grade — High School

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Systems of Equations Worksheet

Name: ____________________Date: ____________

Instructions: Solving systems of linear equations by substitution and elimination.

20 problems

  1. 7x + 5y = 31, x = 3 → y = ____
  2. 2x + 7y = 33, x = 6 → y = ____
  3. x + y = 12, x − y = 0 → x = ____, y = ____
  4. 7x + 5y = 60, x = 5 → y = ____
  5. x + y = 13, x − y = -5 → x = ____, y = ____
  6. x + y = 15, x − y = -1 → x = ____, y = ____
  7. 7x + 2y = 39, x = 3 → y = ____
  8. 5x + 1y = 30, x = 5 → y = ____
  9. 6x + 7y = 25, x = 3 → y = ____
  10. 5x + 5y = 75, x = 7 → y = ____
  11. 1x + 9y = 52, x = 7 → y = ____
  12. 9x + 5y = 52, x = 3 → y = ____
  13. x + y = 10, x − y = -2 → x = ____, y = ____
  14. 6x + 2y = 40, x = 4 → y = ____
  15. x + y = 7, x − y = 3 → x = ____, y = ____
  16. x + y = 17, x − y = -1 → x = ____, y = ____
  17. x + y = 9, x − y = 3 → x = ____, y = ____
  18. 3x + 9y = 39, x = 7 → y = ____
  19. 4x + 7y = 15, x = 2 → y = ____
  20. 4x + 2y = 20, x = 1 → y = ____