Back to the studio New seed 20 problems · seed 12J0B12SYWMH56QTY26SDNH4FW

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.
    -3x - 2y = -16 ; x + y = 5
  2. 2.
    3x - 2y = 9 ; 7x - 5y = 21
  3. 3.
    -5x - 2y = 38 ; -3x - y = 22
  4. 4.
    -3x + 4y = 33 ; -2x + 3y = 23
  5. 5.
    -x + y = 10 ; -3x + 2y = 26
  6. 6.
    -9x - 2y = 18 ; 4x + y = -8
  7. 7.
    -7x - 2y = -35 ; 3x + y = 15
  8. 8.
    -5x + 4y = 0 ; -6x + 5y = 0
  9. 9.
    -3x + 2y = 32 ; -x + y = 13
  10. 10.
    -5x + 2y = -47 ; -3x + y = -27
  11. 11.
    5x + 2y = -15 ; 8x + 3y = -25
  12. 12.
    -3x + y = -28 ; 2x - y = 21
  13. 13.
    7x + 2y = 58 ; 3x + y = 25
  14. 14.
    x + 3y = -8 ; -x - 2y = 4
  15. 15.
    -2x - 3y = -21 ; x + y = 9
  16. 16.
    -x - y = -1 ; 4x + 5y = -2
  17. 17.
    2x - 5y = -14 ; -x + 2y = 5
  18. 18.
    4x - 3y = 10 ; 5x - 4y = 12
  19. 19.
    -5x + 2y = -13 ; -7x + 3y = -19
  20. 20.
    -x + 3y = -18 ; -2x + 7y = -40

Answer key

Systems — seed 12J0B12SYWMH56QTY26SDNH4FW

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