← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 564 · 40 sums
TalentJR

The trick (Paravartya Yojayet): For ax + by = c and dx + ey = f: bottom = a×e − b×d. x = (c×e − b×f) ÷ bottom; y = (a×f − c×d) ÷ bottom. Special case ax + by = c, bx + ay = f: add the equations to get x + y, subtract to get x − y, then add and halve. Check your x and y in the first equation.

NameDateTime takenScore ___ / 40
  1. 1.2x + y = 17 and 5x + 4y = 44 →
  2. 2.4x + 5y = −51 and 3x + 2y = −33 →
  3. 3.8x + 5y = 49 and 5x + 8y = 55 →
  4. 4.6x − 4y = 12 and x + y = 12 →
  5. 5.x − 2y = 0 and 3x + 6y = 24 →
  6. 6.5x + 5y = −15 and x − y = −5 →
  7. 7.x + 3y = 2 and 3x + 3y = −12 →
  8. 8.6x + 4y = 6 and x − 5y = 18 →
  9. 9.5x + 3y = −57 and 4x + 6y = −78 →
  10. 10.3x − 2y = −9 and x + 2y = −19 →
  11. 11.6x − 5y = −4 and 2x + 5y = 52 →
  12. 12.2x + 3y = 17 and 5x + y = −16 →
  13. 13.5x + 8y = 35 and 8x + 5y = 17 →
  14. 14.3x − 4y = −48 and 6x − 3y = −66 →
  15. 15.5x + 9y = 43 and 9x + 5y = 55 →
  16. 16.7x + 8y = −90 and 8x + 7y = −90 →
  17. 17.3x − 4y = −13 and 6x + 2y = −16 →
  18. 18.5x − 4y = −46 and x + 5y = 14 →
  19. 19.3x − 6y = 6 and 4x + 3y = −47 →
  20. 20.x + 6y = 57 and 6x + y = 62 →
  21. 21.3x + 4y = −9 and 3x + 2y = −3 →
  22. 22.8x + 7y = −13 and 7x + 8y = −17 →
  23. 23.2x + 4y = −16 and 4x − 2y = −22 →
  24. 24.6x + 6y = 24 and 4x + 5y = 14 →
  25. 25.8x + y = 73 and x + 8y = 80 →
  26. 26.3x + 3y = 15 and 5x − 2y = 39 →
  27. 27.3x − 6y = 18 and 5x − 5y = 20 →
  28. 28.x + 5y = 31 and 5x − y = −1 →
  29. 29.6x − 2y = 70 and 4x − 6y = 84 →
  30. 30.x − 3y = 17 and 2x − y = 9 →
  31. 31.4x + 3y = 18 and 3x + 4y = 3 →
  32. 32.6x + 3y = −33 and 3x + 6y = −12 →
  33. 33.6x + y = −4 and 2x + 6y = 10 →
  34. 34.x + 4y = −13 and 3x − 6y = −21 →
  35. 35.2x + 6y = −26 and 6x + 2y = 18 →
  36. 36.6x + 8y = 22 and 8x + 6y = 34 →
  37. 37.8x + 4y = −56 and 4x + 8y = −76 →
  38. 38.3x + 4y = 18 and 5x + 4y = 22 →
  39. 39.6x + 3y = 54 and 3x − y = 12 →
  40. 40.3x + 2y = 11 and x + y = 5 →

Answer key

  1. x = 8, y = 1
  2. x = −9, y = −3
  3. x = 3, y = 5
  4. x = 6, y = 6
  5. x = 4, y = 2
  6. x = −4, y = 1
  7. x = −7, y = 3
  8. x = 3, y = −3
  9. x = −6, y = −9
  10. x = −7, y = −6
  11. x = 6, y = 8
  12. x = −5, y = 9
  13. x = −1, y = 5
  14. x = −8, y = 6
  15. x = 5, y = 2
  16. x = −6, y = −6
  17. x = −3, y = 1
  18. x = −6, y = 4
  19. x = −8, y = −5
  20. x = 9, y = 8
  21. x = 1, y = −3
  22. x = 1, y = −3
  23. x = −6, y = −1
  24. x = 6, y = −2
  25. x = 8, y = 9
  26. x = 7, y = −2
  27. x = 2, y = −2
  28. x = 1, y = 6
  29. x = 9, y = −8
  30. x = 2, y = −5
  31. x = 9, y = −6
  32. x = −6, y = 1
  33. x = −1, y = 2
  34. x = −9, y = −1
  35. x = 5, y = −6
  36. x = 5, y = −1
  37. x = −3, y = −8
  38. x = 2, y = 3
  39. x = 6, y = 6
  40. x = 1, y = 4

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths