← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 486 · 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. 1.2x + 8y = 22 and 8x + 2y = −62 →
  2. 2.5x + y = 23 and 5x + 2y = 16 →
  3. 3.9x + 2y = −86 and 2x + 9y = −79 →
  4. 4.9x + 3y = −3 and 3x + 9y = −57 →
  5. 5.x + 3y = 29 and 6x − 4y = 20 →
  6. 6.6x + 4y = 84 and 4x + 6y = 86 →
  7. 7.6x + y = 33 and x + 6y = 23 →
  8. 8.2x − 2y = 20 and 2x + 4y = −34 →
  9. 9.5x − 2y = 34 and x − 5y = −7 →
  10. 10.2x + 6y = −22 and 6x + 2y = 14 →
  11. 11.4x + 3y = 21 and 3x + 4y = 14 →
  12. 12.x − 6y = −8 and 6x + 4y = 32 →
  13. 13.5x + 3y = 8 and x − 5y = −32 →
  14. 14.x − 2y = −13 and 2x + 2y = −14 →
  15. 15.7x + 3y = 2 and 3x + 7y = 18 →
  16. 16.x + 3y = −7 and 3x + y = 3 →
  17. 17.3x + 7y = −39 and 7x + 3y = 29 →
  18. 18.x + 7y = 18 and 7x + y = 30 →
  19. 19.x + 4y = 10 and 3x − y = −22 →
  20. 20.2x − y = −13 and 6x + 2y = −44 →
  21. 21.x + 7y = −37 and 7x + y = 29 →
  22. 22.x + 6y = 0 and 2x + y = −11 →
  23. 23.5x + y = 13 and x + 5y = 17 →
  24. 24.5x − 3y = 52 and 6x + 4y = −6 →
  25. 25.6x + 5y = −2 and 5x + 6y = −9 →
  26. 26.x + 4y = 7 and 3x + 5y = 0 →
  27. 27.3x + 6y = −42 and 3x − 6y = 66 →
  28. 28.8x + y = −14 and x + 8y = 14 →
  29. 29.3x + 2y = 20 and x + 4y = 30 →
  30. 30.x + y = −3 and x + 3y = −1 →
  31. 31.3x + 2y = −42 and 6x − 3y = −21 →
  32. 32.x + 6y = −15 and 6x + y = 15 →
  33. 33.4x + 3y = 27 and 5x + 4y = 35 →
  34. 34.6x + 2y = 10 and 6x − 4y = −2 →
  35. 35.5x + 6y = 27 and x + 4y = 11 →
  36. 36.4x + 4y = 0 and 3x − 6y = 36 →
  37. 37.x + 6y = −47 and 6x + y = −2 →
  38. 38.x + 5y = −35 and 2x − 2y = 26 →
  39. 39.5x + 9y = −37 and 9x + 5y = −33 →
  40. 40.2x + 3y = −5 and 3x − y = −2 →

Answer key

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

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