← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 283 · 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. 1.4x + 2y = 12 and 2x + 4y = 0 →
  2. 2.x − 6y = −1 and 4x + 4y = 24 →
  3. 3.x + 2y = −8 and 2x + y = −1 →
  4. 4.8x + 9y = −15 and 9x + 8y = −19 →
  5. 5.5x + 4y = −13 and 4x + 5y = −5 →
  6. 6.x + 5y = 48 and 6x + 4y = 54 →
  7. 7.5x − y = 13 and 3x + 2y = 13 →
  8. 8.4x + 7y = 81 and 7x + 4y = 84 →
  9. 9.4x + 4y = 40 and 6x − y = −3 →
  10. 10.x + 2y = −6 and 4x + 6y = −26 →
  11. 11.5x − 6y = −53 and 6x + 4y = 26 →
  12. 12.x − 4y = −26 and 6x − 3y = −30 →
  13. 13.5x + 5y = −45 and x − 5y = 21 →
  14. 14.3x + 7y = −14 and 7x + 3y = −46 →
  15. 15.5x − y = −30 and x + 5y = 20 →
  16. 16.x + 4y = −26 and 2x + y = −10 →
  17. 17.3x + y = −4 and 2x + 5y = −7 →
  18. 18.2x + 7y = 26 and 7x + 2y = 46 →
  19. 19.4x − 2y = −30 and 3x − 3y = −27 →
  20. 20.4x + 6y = 64 and 6x + 4y = 56 →
  21. 21.8x + 6y = 90 and 6x + 8y = 78 →
  22. 22.6x − 5y = −76 and x + 6y = 42 →
  23. 23.5x + y = 29 and 3x + y = 17 →
  24. 24.x + 2y = 13 and 2x + y = 17 →
  25. 25.3x + 9y = −57 and 9x + 3y = −3 →
  26. 26.5x − 5y = −5 and 6x + 6y = −42 →
  27. 27.6x + y = −31 and 6x − 5y = 11 →
  28. 28.6x + 4y = 8 and x + 6y = −20 →
  29. 29.3x − 4y = −13 and 4x − 5y = −16 →
  30. 30.6x + y = 8 and x + 6y = 13 →
  31. 31.5x + 3y = 15 and 5x + 5y = 5 →
  32. 32.6x + 5y = 3 and 5x − 4y = 76 →
  33. 33.x + 6y = 55 and 2x + 2y = 20 →
  34. 34.8x + 2y = 28 and 2x + 8y = 22 →
  35. 35.x − 2y = 9 and 5x + y = 34 →
  36. 36.x + 4y = 5 and 4x + y = −10 →
  37. 37.6x + 3y = 30 and 3x + 6y = 51 →
  38. 38.3x + 6y = −6 and 6x + 3y = −39 →
  39. 39.9x + 2y = −84 and 2x + 9y = −70 →
  40. 40.6x + 2y = 26 and 2x − 6y = 2 →

Answer key

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

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