Back to the studio New seed 20 problems · seed A7CVD6BRW9D4PFXNBGRWJJEXXW

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 + 4y = -30 ; x - 3y = 22
  2. 2.
    -5x - 7y = 37 ; 2x + 3y = -16
  3. 3.
    -x + 2y = -9 ; 2x - 5y = 21
  4. 4.
    -5x + 3y = -30 ; -8x + 5y = -48
  5. 5.
    x + 2y = 4 ; 4x + 9y = 22
  6. 6.
    -5x + 2y = 26 ; -7x + 3y = 35
  7. 7.
    -x - 4y = -24 ; 2x + 9y = 55
  8. 8.
    3x - 5y = -27 ; -2x + 3y = 16
  9. 9.
    -5x + 6y = -45 ; x - y = 8
  10. 10.
    -5x - 4y = 41 ; x + y = -9
  11. 11.
    3x + y = 8 ; 8x + 3y = 22
  12. 12.
    -x + 3y = 23 ; x - 2y = -17
  13. 13.
    -3x + 4y = 5 ; x - y = -2
  14. 14.
    6x - 5y = -1 ; -x + y = 1
  15. 15.
    -2x + y = -9 ; -7x + 3y = -33
  16. 16.
    -x - 4y = 3 ; -2x - 7y = 4
  17. 17.
    x - 2y = -1 ; -x + 3y = 3
  18. 18.
    -x - 4y = 34 ; x + 3y = -26
  19. 19.
    -5x + 4y = 12 ; -6x + 5y = 15
  20. 20.
    5x + 7y = -34 ; 2x + 3y = -14

Answer key

Systems — seed A7CVD6BRW9D4PFXNBGRWJJEXXW

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