← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 537 · 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.x − 6y = 51 and 4x + 5y = −57 →
  2. 2.4x + 6y = −86 and 6x + 4y = −84 →
  3. 3.3x + 5y = 63 and 6x + 2y = 54 →
  4. 4.2x + 2y = 2 and 4x − 5y = −59 →
  5. 5.2x + y = 6 and x + 2y = 0 →
  6. 6.x − 4y = −24 and x + y = 1 →
  7. 7.7x + 5y = −52 and 5x + 7y = −68 →
  8. 8.5x + 4y = 65 and 4x + 5y = 61 →
  9. 9.2x + 4y = 10 and 5x − 4y = −45 →
  10. 10.3x + 2y = 2 and 2x + 3y = 13 →
  11. 11.6x + 5y = −18 and x + y = −2 →
  12. 12.6x + 2y = −14 and 5x + 4y = −21 →
  13. 13.3x + 2y = 20 and 6x − y = 35 →
  14. 14.3x + 6y = 69 and 6x + 3y = 57 →
  15. 15.5x − 5y = 15 and 6x − 4y = 22 →
  16. 16.2x + y = −16 and 3x − 2y = −31 →
  17. 17.4x + 2y = 6 and 3x − y = −8 →
  18. 18.6x + 5y = 42 and 4x + 5y = 38 →
  19. 19.4x + 8y = 40 and 8x + 4y = 44 →
  20. 20.3x − 6y = 9 and 4x + 5y = 51 →
  21. 21.4x + 6y = 10 and 2x − 4y = 26 →
  22. 22.5x + 6y = 74 and 2x + 5y = 53 →
  23. 23.x + y = −7 and 4x + 3y = −29 →
  24. 24.x + 2y = −4 and 5x − 4y = 22 →
  25. 25.6x + 8y = 66 and 8x + 6y = 60 →
  26. 26.9x + y = 65 and x + 9y = 25 →
  27. 27.x + 6y = 25 and x + 3y = 16 →
  28. 28.5x + 4y = −1 and 3x + 5y = 15 →
  29. 29.5x + 8y = 9 and 8x + 5y = −9 →
  30. 30.2x + 3y = −23 and x + y = −7 →
  31. 31.7x + 9y = 91 and 9x + 7y = 85 →
  32. 32.5x + 6y = −38 and 5x − 6y = −2 →
  33. 33.4x + 2y = 26 and 2x + 4y = 4 →
  34. 34.6x + 4y = 32 and 4x + 6y = 28 →
  35. 35.7x + 3y = −6 and 3x + 7y = 26 →
  36. 36.x + 2y = 15 and 2x + y = 12 →
  37. 37.6x − 2y = 50 and 3x + 3y = 9 →
  38. 38.3x + y = 20 and x + 3y = 28 →
  39. 39.x − 6y = −10 and x + 4y = 20 →
  40. 40.3x + 2y = 7 and 5x − y = 3 →

Answer key

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

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