← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 280 · 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. 1.4x − 2y = 36 and 5x − 5y = 60 →
  2. 2.6x + 4y = 40 and 4x + 6y = 30 →
  3. 3.x + 2y = 15 and 2x + y = 15 →
  4. 4.x − 6y = −63 and 3x + 5y = 18 →
  5. 5.5x + y = 1 and x + 5y = 29 →
  6. 6.6x + 9y = 9 and 9x + 6y = 36 →
  7. 7.6x − 3y = 27 and 4x + 2y = 6 →
  8. 8.3x + 9y = 6 and 9x + 3y = −6 →
  9. 9.4x − 4y = 24 and 3x + 2y = 33 →
  10. 10.x + 5y = −8 and 6x − 4y = 20 →
  11. 11.3x + 2y = −9 and 5x + 4y = −13 →
  12. 12.6x − 5y = −15 and 5x + y = 34 →
  13. 13.3x + y = 10 and x + 3y = 6 →
  14. 14.x + 6y = −8 and 2x + 2y = 4 →
  15. 15.6x + 5y = −14 and 5x + 6y = −8 →
  16. 16.6x + y = −53 and 6x + 3y = −63 →
  17. 17.2x + 6y = −2 and 5x − 4y = 33 →
  18. 18.6x + y = 56 and 4x + y = 38 →
  19. 19.x + 2y = −2 and 5x − 2y = 38 →
  20. 20.3x − 4y = 52 and x − 2y = 22 →
  21. 21.x − 2y = 10 and x + y = −17 →
  22. 22.8x + 3y = −25 and 3x + 8y = −30 →
  23. 23.2x + 5y = −3 and x + 3y = −1 →
  24. 24.6x + 5y = 33 and 2x + 3y = 15 →
  25. 25.5x + 3y = −3 and 3x + 5y = −21 →
  26. 26.3x + 2y = 20 and 2x + 3y = 15 →
  27. 27.x + y = −5 and x + 6y = −35 →
  28. 28.3x + 5y = 37 and 2x − 5y = −17 →
  29. 29.3x − 5y = −54 and x + 2y = 15 →
  30. 30.x + 2y = 12 and 4x + 2y = 0 →
  31. 31.5x + 5y = −40 and 6x + 3y = −21 →
  32. 32.x + y = 13 and 6x − 6y = −18 →
  33. 33.3x − 5y = −7 and 6x + 3y = 12 →
  34. 34.4x + 6y = 52 and 4x + 2y = 20 →
  35. 35.7x + 3y = 7 and 3x + 7y = 43 →
  36. 36.6x + 7y = −11 and 7x + 6y = −2 →
  37. 37.x + 6y = 51 and 6x + y = 26 →
  38. 38.5x − y = −37 and 4x + 3y = −41 →
  39. 39.9x + 8y = 101 and 8x + 9y = 103 →
  40. 40.x + 6y = 2 and 4x + y = −15 →

Answer key

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

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