← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 639 · 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. 1.5x + 6y = 63 and x + 6y = 51 →
  2. 2.4x + 5y = −24 and 5x + 4y = −12 →
  3. 3.9x + 6y = −60 and 6x + 9y = −75 →
  4. 4.6x − 4y = 26 and x + 3y = 8 →
  5. 5.6x + 3y = −9 and 5x + 2y = −5 →
  6. 6.3x − y = −5 and 2x + 6y = 50 →
  7. 7.8x + 7y = 8 and 7x + 8y = −8 →
  8. 8.4x + 5y = 17 and 6x + 2y = 20 →
  9. 9.3x − 2y = 10 and 3x − 4y = 8 →
  10. 10.4x − y = 6 and x + y = 9 →
  11. 11.3x − 2y = −3 and 3x + 4y = 33 →
  12. 12.2x + 3y = −24 and 3x + 2y = −31 →
  13. 13.4x + 2y = 12 and 3x − 5y = 61 →
  14. 14.2x + y = 8 and 6x + 6y = 30 →
  15. 15.4x + 5y = 10 and 5x + 4y = 17 →
  16. 16.3x + y = 15 and x + 3y = −19 →
  17. 17.4x + 3y = 24 and x + 4y = 19 →
  18. 18.2x + y = 17 and 5x + 6y = 39 →
  19. 19.x + 3y = 26 and 6x + 6y = 84 →
  20. 20.x + 2y = 8 and 2x + y = 13 →
  21. 21.3x − 6y = −78 and 4x + 5y = 13 →
  22. 22.6x − 6y = −24 and 5x − 3y = −2 →
  23. 23.x + 4y = −35 and 4x + 5y = −63 →
  24. 24.9x + 2y = −39 and 2x + 9y = 17 →
  25. 25.x − 2y = −7 and x + 4y = 29 →
  26. 26.x + 3y = 4 and 3x + y = 20 →
  27. 27.x + 9y = 35 and 9x + y = 75 →
  28. 28.8x + 5y = 46 and 5x + 8y = 58 →
  29. 29.7x + 3y = −38 and 3x + 7y = −62 →
  30. 30.4x + 4y = 28 and 5x + 6y = 44 →
  31. 31.x + y = −6 and 3x + y = −4 →
  32. 32.x + 4y = 32 and 4x + y = 38 →
  33. 33.5x − y = −15 and 3x + 2y = 4 →
  34. 34.x + 5y = −43 and 2x − 5y = 34 →
  35. 35.2x + 5y = 17 and 5x + 2y = 32 →
  36. 36.4x + 2y = −32 and 4x + y = −34 →
  37. 37.5x + 4y = 37 and x + y = 9 →
  38. 38.6x + 7y = −54 and 7x + 6y = −50 →
  39. 39.6x − 3y = −27 and x − 5y = 0 →
  40. 40.x − 2y = −11 and 5x + 4y = 1 →

Answer key

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

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