Back to the studio New seed 20 problems · seed Y410GJEN9057ZE9K76444MZYDG

Systems

2×2 and 3×3, guaranteed to have one solution and to reach it without fractions.

Randomly
equations.system
Name Class Date
  1. 1.
    -x + y = 8 ; x - 2y = -10
  2. 2.
    3x + y = 7 ; 2x + y = 5
  3. 3.
    -5x - 2y = 7 ; 2x + y = -3
  4. 4.
    x - 2y = -15 ; x - y = -11
  5. 5.
    x + y = -12 ; 2x + 3y = -30
  6. 6.
    -x + 2y = 8 ; -2x + 5y = 21
  7. 7.
    x - y = 3 ; 2x - y = 2
  8. 8.
    -x - y = 6 ; -2x - y = 10
  9. 9.
    9x + 2y = 57 ; 4x + y = 26
  10. 10.
    x - y = 11 ; -2x + 3y = -25
  11. 11.
    x - y = -12 ; -2x + 3y = 29
  12. 12.
    -3x + 4y = 15 ; -x + y = 3
  13. 13.
    3x + 4y = 8 ; 4x + 5y = 9
  14. 14.
    3x - y = 10 ; -2x + y = -6
  15. 15.
    x + 2y = -3 ; 3x + 7y = -13
  16. 16.
    2x + 3y = 28 ; -x - 2y = -17
  17. 17.
    -3x - y = -23 ; -4x - y = -31
  18. 18.
    -3x - 8y = 38 ; -x - 3y = 15
  19. 19.
    -x + 3y = 5 ; -x + 2y = 4
  20. 20.
    3x - 7y = 3 ; x - 2y = 2

Answer key

Systems — seed Y410GJEN9057ZE9K76444MZYDG

Randomly
equations.system
  1. 1. x = -6, y = 2
  2. 2. x = 2, y = 1
  3. 3. x = -1, y = -1
  4. 4. x = -7, y = 4
  5. 5. x = -6, y = -6
  6. 6. x = 2, y = 5
  7. 7. x = -1, y = -4
  8. 8. x = -4, y = -2
  9. 9. x = 5, y = 6
  10. 10. x = 8, y = -3
  11. 11. x = -7, y = 5
  12. 12. x = 3, y = 6
  13. 13. x = -4, y = 5
  14. 14. x = 4, y = 2
  15. 15. x = 5, y = -4
  16. 16. x = 5, y = 6
  17. 17. x = 8, y = -1
  18. 18. x = 6, y = -7
  19. 19. x = -2, y = 1
  20. 20. x = 8, y = 3