← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 90 · 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. 1.3x + 8y = −45 and 8x + 3y = −65 →
  2. 2.2x − y = 1 and x − 3y = −17 →
  3. 3.4x − 4y = 44 and 6x + 3y = −15 →
  4. 4.3x + 2y = 10 and 3x + y = 2 →
  5. 5.3x + 4y = 33 and x + 5y = 22 →
  6. 6.9x + 8y = −39 and 8x + 9y = −46 →
  7. 7.4x + 5y = −29 and 3x − 5y = 57 →
  8. 8.4x − 2y = 48 and x + 3y = −9 →
  9. 9.3x + 4y = 23 and 3x + y = −1 →
  10. 10.5x − 5y = 10 and 3x + 2y = 36 →
  11. 11.5x + 4y = −7 and 3x + y = −7 →
  12. 12.5x + y = 30 and x + 5y = 30 →
  13. 13.2x + 8y = 34 and 8x + 2y = 76 →
  14. 14.7x + 3y = 55 and 3x + 7y = 75 →
  15. 15.6x + 9y = −129 and 9x + 6y = −126 →
  16. 16.x − 3y = −7 and x + 2y = 18 →
  17. 17.5x + 5y = 15 and 6x + 4y = 14 →
  18. 18.5x − 6y = 24 and x + 4y = 10 →
  19. 19.5x + 6y = 89 and 6x + 5y = 87 →
  20. 20.6x + y = −17 and 5x + 2y = −20 →
  21. 21.5x + 2y = 10 and 2x + 5y = −17 →
  22. 22.3x + 4y = 42 and 4x + 3y = 42 →
  23. 23.6x − 2y = 22 and 3x + 4y = 31 →
  24. 24.5x + y = 41 and x + 5y = 37 →
  25. 25.6x − 4y = 30 and 4x + 6y = −32 →
  26. 26.8x + 4y = 60 and 4x + 8y = 36 →
  27. 27.2x − 5y = −38 and x − 5y = −39 →
  28. 28.9x + 7y = 40 and 7x + 9y = 24 →
  29. 29.x + 7y = −30 and 7x + y = −66 →
  30. 30.6x + 4y = 54 and 4x + 6y = 66 →
  31. 31.2x + 3y = −7 and 2x − 3y = −25 →
  32. 32.2x + y = 10 and 3x − y = 25 →
  33. 33.4x + 5y = 81 and 5x + 4y = 81 →
  34. 34.x + 2y = 19 and 2x − y = −7 →
  35. 35.5x + 5y = 35 and 4x + y = 22 →
  36. 36.2x − 5y = −23 and 5x + 3y = −42 →
  37. 37.5x + 2y = 19 and 5x + y = 22 →
  38. 38.2x − 6y = 72 and 6x + 5y = 9 →
  39. 39.2x − 6y = 32 and 4x + 3y = −26 →
  40. 40.8x + 4y = 44 and 4x + 8y = 76 →

Answer key

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

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