← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 77 · 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 + 7y = 65 and 7x + 4y = 56 →
  2. 2.8x + 2y = 28 and 2x + 8y = 52 →
  3. 3.4x + 8y = 52 and 8x + 4y = 56 →
  4. 4.6x − 3y = 75 and 5x − 4y = 76 →
  5. 5.9x + 4y = 60 and 4x + 9y = 70 →
  6. 6.2x + 5y = 47 and 2x + 6y = 56 →
  7. 7.2x + 3y = −4 and 3x + 2y = −11 →
  8. 8.6x − 3y = 54 and 6x + 3y = 18 →
  9. 9.x + 6y = 39 and 6x + y = 59 →
  10. 10.2x + y = 15 and 5x − 6y = −5 →
  11. 11.6x + 2y = −52 and 2x + 6y = −12 →
  12. 12.x − 3y = −4 and 2x + y = 6 →
  13. 13.4x + 3y = −25 and 3x + 4y = −31 →
  14. 14.5x + 3y = −2 and 3x + 5y = 2 →
  15. 15.3x + 4y = 41 and 6x + y = 26 →
  16. 16.8x + 5y = 89 and 5x + 8y = 80 →
  17. 17.7x + 2y = 4 and 2x + 7y = 59 →
  18. 18.4x − 5y = −16 and 3x + 2y = 34 →
  19. 19.x + y = 3 and 3x − y = 21 →
  20. 20.x + 4y = 13 and 4x + y = 22 →
  21. 21.4x + 3y = 11 and 3x + 4y = 24 →
  22. 22.6x − 6y = 54 and 2x + 5y = −24 →
  23. 23.9x + 5y = 107 and 5x + 9y = 103 →
  24. 24.5x + 3y = 62 and x + y = 16 →
  25. 25.x − 3y = 6 and 4x − 3y = −3 →
  26. 26.x + 5y = −34 and x + 2y = −16 →
  27. 27.4x + 4y = 56 and 2x + 5y = 43 →
  28. 28.8x + 2y = 58 and 2x + 8y = 82 →
  29. 29.5x − 3y = −39 and x + 4y = 29 →
  30. 30.3x + y = 15 and 5x + 5y = 15 →
  31. 31.3x + 2y = 45 and 4x + 4y = 72 →
  32. 32.4x + 2y = −20 and x + 3y = 0 →
  33. 33.x − 2y = −10 and 2x − 6y = −34 →
  34. 34.7x + 5y = −40 and 5x + 7y = −32 →
  35. 35.6x + y = 22 and x + 3y = 15 →
  36. 36.2x + 4y = −2 and 4x + 4y = 8 →
  37. 37.4x − 4y = 4 and 5x − 3y = 9 →
  38. 38.7x + 4y = 43 and 4x + 7y = 34 →
  39. 39.7x + 9y = 123 and 9x + 7y = 117 →
  40. 40.x + 4y = 16 and 6x − 5y = −49 →

Answer key

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

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