← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 60 · 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 + 2y = 34 and 6x + 5y = 33 →
  2. 2.7x + 6y = 3 and 6x + 7y = 10 →
  3. 3.2x + 5y = 58 and 4x + y = 44 →
  4. 4.8x + 6y = 90 and 6x + 8y = 78 →
  5. 5.2x − 6y = 50 and 6x − 6y = 66 →
  6. 6.8x + 2y = −30 and 2x + 8y = 30 →
  7. 7.3x − 2y = −15 and 4x + 3y = 14 →
  8. 8.6x + 3y = 45 and 6x − 2y = 10 →
  9. 9.8x + 3y = 67 and 3x + 8y = 87 →
  10. 10.3x − 3y = −42 and 3x + 6y = 12 →
  11. 11.4x + y = 38 and 6x − y = 52 →
  12. 12.7x + 4y = 34 and 4x + 7y = 43 →
  13. 13.5x − y = −11 and 4x + 2y = 8 →
  14. 14.6x + 4y = 78 and 4x + 6y = 72 →
  15. 15.3x + 4y = −5 and 3x + 3y = −6 →
  16. 16.6x + 6y = 12 and x − 2y = −16 →
  17. 17.5x + 3y = −63 and 3x + 5y = −57 →
  18. 18.6x + 4y = 12 and 5x − 4y = 32 →
  19. 19.2x + y = 1 and x + 2y = −13 →
  20. 20.4x + 3y = −14 and 5x + 2y = −28 →
  21. 21.5x − y = 43 and 2x + 5y = 1 →
  22. 22.6x + 8y = 46 and 8x + 6y = 38 →
  23. 23.6x + 5y = −4 and 2x − 4y = 10 →
  24. 24.6x − 2y = −60 and 3x + 6y = −9 →
  25. 25.6x − 4y = 32 and 3x − 5y = 4 →
  26. 26.4x − 3y = 6 and 5x − 5y = 0 →
  27. 27.3x + 3y = 30 and x − 3y = −22 →
  28. 28.4x + 5y = 26 and 4x − 3y = 10 →
  29. 29.3x + 2y = −13 and 2x + 5y = 6 →
  30. 30.6x + 6y = 0 and x − y = 6 →
  31. 31.5x + 5y = 50 and 4x + y = 16 →
  32. 32.x − 2y = 21 and 3x − 5y = 54 →
  33. 33.x + 3y = −21 and 5x + 3y = −9 →
  34. 34.3x + 9y = 99 and 9x + 3y = 105 →
  35. 35.8x + 6y = −2 and 6x + 8y = −26 →
  36. 36.6x + 9y = 36 and 9x + 6y = 69 →
  37. 37.6x + y = 15 and x − y = −1 →
  38. 38.4x − 3y = 26 and 3x − 2y = 19 →
  39. 39.9x + 4y = 47 and 4x + 9y = 57 →
  40. 40.4x + y = 23 and 2x + 3y = 29 →

Answer key

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

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