Back to the studio New seed 20 problems · seed C6821QHVH73KRVM722M9FDQRH0

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.
    5x + 2y = 29 ; 2x + y = 13
  2. 2.
    -x - 2y = -4 ; -3x - 7y = -14
  3. 3.
    3x - 2y = 12 ; -x + y = -2
  4. 4.
    x - y = 4 ; 2x - y = 0
  5. 5.
    -7x + 2y = 50 ; -3x + y = 22
  6. 6.
    x - 2y = -18 ; 2x - 5y = -43
  7. 7.
    4x + 3y = -26 ; 5x + 4y = -34
  8. 8.
    x + y = 5 ; 8x + 7y = 35
  9. 9.
    -x - 4y = -15 ; x + 5y = 20
  10. 10.
    -3x - 5y = 27 ; -2x - 3y = 17
  11. 11.
    5x + y = 2 ; 9x + 2y = 2
  12. 12.
    5x - 7y = -51 ; -3x + 4y = 30
  13. 13.
    -3x + y = 4 ; 7x - 2y = -11
  14. 14.
    -4x + 7y = -50 ; -3x + 5y = -36
  15. 15.
    3x + 2y = -18 ; 8x + 5y = -49
  16. 16.
    -x - 4y = 8 ; 2x + 9y = -17
  17. 17.
    x + 4y = 17 ; -2x - 7y = -30
  18. 18.
    3x + 5y = 6 ; 5x + 8y = 11
  19. 19.
    x - y = -3 ; -x + 2y = 11
  20. 20.
    -2x + y = -4 ; -3x + 2y = -10

Answer key

Systems — seed C6821QHVH73KRVM722M9FDQRH0

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