← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 140 · 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. 1.7x + 3y = 60 and 3x + 7y = 20 →
  2. 2.x + 4y = 20 and 4x + y = −10 →
  3. 3.8x + 9y = 23 and 9x + 8y = 28 →
  4. 4.4x + 9y = 22 and 9x + 4y = 17 →
  5. 5.x + 4y = 5 and x − 2y = −7 →
  6. 6.4x + 5y = 46 and 5x + 6y = 57 →
  7. 7.3x − 2y = −29 and 3x − 6y = −33 →
  8. 8.5x − y = −20 and 3x − 5y = −34 →
  9. 9.2x − 6y = 26 and 3x − y = 7 →
  10. 10.4x + 3y = 14 and 4x − 3y = −22 →
  11. 11.4x + 4y = 44 and 2x + y = 13 →
  12. 12.7x + 5y = 39 and 5x + 7y = 45 →
  13. 13.9x + y = 23 and x + 9y = 47 →
  14. 14.x + 6y = −15 and 2x + 4y = 2 →
  15. 15.4x + 6y = 4 and 6x + 4y = 26 →
  16. 16.x + 5y = −35 and 4x + 6y = −56 →
  17. 17.x + 9y = −12 and 9x + y = 52 →
  18. 18.x − y = 8 and 2x + y = −11 →
  19. 19.6x − 4y = −46 and 3x − 3y = −24 →
  20. 20.8x + 2y = −34 and 2x + 8y = −46 →
  21. 21.5x − 3y = −25 and 4x + 5y = 17 →
  22. 22.5x + 2y = 17 and 4x + 6y = 18 →
  23. 23.6x + 9y = 99 and 9x + 6y = 81 →
  24. 24.6x − 6y = 6 and 4x + 2y = 34 →
  25. 25.3x + 5y = −2 and 5x − 2y = 38 →
  26. 26.2x + y = −9 and x − 6y = −24 →
  27. 27.4x + 2y = 10 and 5x + 2y = 12 →
  28. 28.8x + 2y = 12 and 2x + 8y = 18 →
  29. 29.x − y = −11 and 6x + y = −38 →
  30. 30.x + 5y = 33 and 3x − 3y = −27 →
  31. 31.2x + 6y = 20 and 5x − 2y = −52 →
  32. 32.7x + y = 70 and x + 7y = 58 →
  33. 33.4x − 2y = 26 and 3x + 6y = 57 →
  34. 34.x + 5y = 34 and x + 2y = 13 →
  35. 35.5x − 2y = 16 and 4x + 3y = 45 →
  36. 36.3x + 5y = 10 and 3x − 6y = 21 →
  37. 37.x + 5y = 11 and 2x − 2y = 10 →
  38. 38.6x + y = −29 and x + y = 1 →
  39. 39.5x + 6y = −39 and 5x + 2y = −43 →
  40. 40.6x + 6y = 6 and 4x + y = 13 →

Answer key

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

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