← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 524 · 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. 1.9x + 6y = −93 and 6x + 9y = −87 →
  2. 2.5x + y = 8 and x + y = 4 →
  3. 3.5x + 6y = 19 and x − y = −5 →
  4. 4.2x + 4y = 16 and x − 2y = −4 →
  5. 5.7x + 5y = −48 and 5x + 7y = −24 →
  6. 6.x + 8y = −61 and 8x + y = 16 →
  7. 7.6x − 5y = 9 and 4x + 4y = 72 →
  8. 8.4x + 2y = −2 and 3x + 3y = 0 →
  9. 9.2x + 4y = 14 and 4x + 2y = 4 →
  10. 10.6x − y = −3 and x + 4y = 37 →
  11. 11.x + y = 8 and x + 6y = 18 →
  12. 12.6x + y = 8 and 2x + 3y = 8 →
  13. 13.5x + 5y = −5 and 2x + 6y = −22 →
  14. 14.8x + 6y = 88 and 6x + 8y = 80 →
  15. 15.9x + y = 14 and x + 9y = 46 →
  16. 16.2x + 2y = 2 and x + 6y = 26 →
  17. 17.6x + 2y = 44 and 2x + 2y = 24 →
  18. 18.5x − 4y = −40 and 2x + 5y = 17 →
  19. 19.x + 3y = 9 and 6x − 5y = 8 →
  20. 20.2x + y = 8 and x + 2y = 7 →
  21. 21.2x + 3y = −2 and 3x + 2y = −8 →
  22. 22.6x + 5y = 51 and 3x − 2y = 12 →
  23. 23.5x + 6y = 56 and 3x + 6y = 48 →
  24. 24.9x + 8y = 41 and 8x + 9y = 44 →
  25. 25.5x + y = 20 and 2x + 2y = 16 →
  26. 26.2x − y = 16 and x + 2y = 13 →
  27. 27.6x − 3y = −12 and 5x + 4y = 29 →
  28. 28.6x + 9y = 78 and 9x + 6y = 87 →
  29. 29.3x + y = 5 and x + 3y = 23 →
  30. 30.6x − 2y = 18 and x + 3y = 23 →
  31. 31.3x + y = 3 and x + 3y = −23 →
  32. 32.6x − 5y = 66 and 5x − y = 36 →
  33. 33.6x + 9y = 99 and 9x + 6y = 111 →
  34. 34.3x − y = −9 and x − 4y = −14 →
  35. 35.9x + y = 82 and x + 9y = 18 →
  36. 36.2x + 8y = −36 and 8x + 2y = 6 →
  37. 37.6x + 7y = 43 and 7x + 6y = 35 →
  38. 38.2x + 5y = 23 and 4x + 6y = 26 →
  39. 39.x + 5y = 15 and 5x − y = 23 →
  40. 40.7x + 6y = 64 and 6x + 7y = 66 →

Answer key

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

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