← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 788 · 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 + 7y = 50 and 7x + y = 14 →
  2. 2.x − 2y = 24 and 2x + 6y = −42 →
  3. 3.x + 4y = −13 and 4x − y = 16 →
  4. 4.5x − y = −22 and 2x + 2y = −28 →
  5. 5.x + 5y = 32 and 5x + y = 16 →
  6. 6.3x + 4y = 38 and 4x + 4y = 40 →
  7. 7.5x + 8y = 86 and 8x + 5y = 83 →
  8. 8.5x + y = 15 and 4x + 4y = 28 →
  9. 9.5x + 6y = 9 and 4x − 6y = 18 →
  10. 10.4x + 6y = −12 and x + y = 1 →
  11. 11.x + 7y = 58 and 7x + y = 22 →
  12. 12.4x + 2y = 12 and 2x + 4y = 30 →
  13. 13.3x − 5y = −42 and 5x + 4y = 41 →
  14. 14.x + y = 0 and 4x + y = −9 →
  15. 15.2x − 6y = 4 and 2x + 2y = 12 →
  16. 16.5x + 4y = −24 and 3x − 6y = −6 →
  17. 17.3x − y = −3 and x + 4y = 38 →
  18. 18.x + 5y = 37 and 2x + y = 2 →
  19. 19.4x + 7y = −48 and 7x + 4y = −18 →
  20. 20.3x + 5y = 1 and 6x + 6y = −6 →
  21. 21.4x + 5y = 68 and x − 3y = −17 →
  22. 22.9x + y = 74 and x + 9y = 26 →
  23. 23.3x + y = −14 and 3x + 3y = −30 →
  24. 24.x + 2y = 7 and 2x + y = 17 →
  25. 25.x + 5y = 28 and 5x + y = −4 →
  26. 26.6x + 3y = −18 and x + 2y = 9 →
  27. 27.5x + 5y = 80 and 2x − 3y = −13 →
  28. 28.6x + 3y = 15 and 3x − 2y = 25 →
  29. 29.5x + 2y = −29 and x + 4y = 23 →
  30. 30.x + 4y = 0 and 6x − 6y = 60 →
  31. 31.6x + 3y = 0 and 3x + 6y = 9 →
  32. 32.2x + y = 3 and x + 2y = 0 →
  33. 33.3x + 4y = 6 and 5x − 2y = −42 →
  34. 34.5x − 2y = 19 and 4x + y = 10 →
  35. 35.6x − 3y = 48 and x + 4y = 17 →
  36. 36.2x + 2y = −18 and 5x − 2y = 11 →
  37. 37.6x + 9y = 30 and 9x + 6y = 0 →
  38. 38.x + 2y = −19 and x + 4y = −29 →
  39. 39.7x + 5y = 89 and 5x + 7y = 91 →
  40. 40.4x − 6y = −32 and 4x + y = 24 →

Answer key

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

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