← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 834 · 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. 1.7x + 8y = −38 and 8x + 7y = −37 →
  2. 2.6x + 2y = 28 and 4x − y = 7 →
  3. 3.2x − y = 7 and 5x + 5y = 40 →
  4. 4.5x + 9y = 19 and 9x + 5y = −33 →
  5. 5.6x + 8y = −54 and 8x + 6y = −44 →
  6. 6.4x + 7y = 39 and 7x + 4y = 60 →
  7. 7.6x − 2y = 40 and x + 2y = −5 →
  8. 8.4x − y = −5 and 5x + 2y = 23 →
  9. 9.6x + 8y = 58 and 8x + 6y = 40 →
  10. 10.x − 3y = −5 and 2x − y = 10 →
  11. 11.2x + 6y = −8 and 5x + 3y = −8 →
  12. 12.3x − 5y = 28 and 2x + 2y = −24 →
  13. 13.2x + y = 17 and x + 2y = 19 →
  14. 14.5x + 8y = −36 and 8x + 5y = −42 →
  15. 15.2x + 7y = −57 and 7x + 2y = −42 →
  16. 16.4x − 5y = −16 and 3x + 6y = 27 →
  17. 17.4x + y = 7 and 4x + 4y = 4 →
  18. 18.6x + y = −26 and x + 6y = 19 →
  19. 19.7x + 2y = −25 and 2x + 7y = −20 →
  20. 20.x − 6y = −62 and x − 2y = −26 →
  21. 21.2x + y = 8 and 5x + 4y = 14 →
  22. 22.2x + 6y = 68 and x + y = 16 →
  23. 23.8x + 9y = −6 and 9x + 8y = −11 →
  24. 24.x − 5y = −16 and 6x − y = 49 →
  25. 25.2x + 3y = 31 and x + 6y = 56 →
  26. 26.2x + y = −12 and x + y = −5 →
  27. 27.x + 9y = 19 and 9x + y = 11 →
  28. 28.9x + 2y = −93 and 2x + 9y = −72 →
  29. 29.6x + 7y = −67 and 7x + 6y = −63 →
  30. 30.3x + y = −20 and x + 3y = −12 →
  31. 31.5x + 4y = 46 and 2x + 4y = 40 →
  32. 32.3x + 5y = 2 and 5x + 3y = −18 →
  33. 33.4x + 2y = 48 and 4x + y = 42 →
  34. 34.6x + 2y = 70 and 2x + 6y = 66 →
  35. 35.5x − y = −7 and 6x − y = −8 →
  36. 36.2x + 6y = −30 and 6x + 2y = 22 →
  37. 37.5x + 5y = 10 and x + 2y = 8 →
  38. 38.2x + 3y = 28 and x + 6y = 50 →
  39. 39.5x + 5y = −55 and 5x − y = −1 →
  40. 40.6x + 4y = −78 and 4x + 6y = −82 →

Answer key

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

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