← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 469 · 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 + 7y = 79 and 7x + 2y = 74 →
  2. 2.x + y = 6 and x + 4y = 21 →
  3. 3.2x + 3y = −5 and 6x + 4y = 20 →
  4. 4.2x + 8y = −30 and 8x + 2y = 0 →
  5. 5.5x + y = −18 and 5x + 4y = −27 →
  6. 6.8x + 6y = −40 and 6x + 8y = −58 →
  7. 7.6x + 6y = −36 and 2x + 5y = −3 →
  8. 8.7x + 8y = 31 and 8x + 7y = 29 →
  9. 9.6x + 5y = −11 and x + 2y = −3 →
  10. 10.2x + 3y = −13 and 3x + 2y = 3 →
  11. 11.3x + 2y = 24 and 2x + 3y = 26 →
  12. 12.6x + 4y = 2 and 6x − 3y = −54 →
  13. 13.2x − 4y = 38 and 6x + 2y = 2 →
  14. 14.6x + 2y = −44 and 2x + 6y = 12 →
  15. 15.4x + y = 34 and x + 4y = 31 →
  16. 16.x + 5y = −14 and 2x + 5y = −13 →
  17. 17.6x − 5y = −55 and 6x + 6y = 0 →
  18. 18.6x + y = 53 and 6x − y = 55 →
  19. 19.2x − 6y = −14 and 4x + 2y = 28 →
  20. 20.9x + 5y = −29 and 5x + 9y = −41 →
  21. 21.5x + 2y = 32 and 2x + 5y = 17 →
  22. 22.9x + 7y = −21 and 7x + 9y = 5 →
  23. 23.x + 5y = 11 and x − 6y = −11 →
  24. 24.5x − 4y = 1 and x + 2y = 17 →
  25. 25.2x + 2y = 12 and 2x − 3y = −13 →
  26. 26.2x + 2y = −6 and 6x + y = −43 →
  27. 27.4x + 6y = 46 and 4x + 4y = 40 →
  28. 28.x + y = 7 and 2x + y = 15 →
  29. 29.4x + 6y = 46 and 6x − 6y = 24 →
  30. 30.5x − 3y = 42 and 3x − 3y = 36 →
  31. 31.2x − 5y = −3 and 6x + 5y = 11 →
  32. 32.3x − 2y = 14 and 4x + y = 26 →
  33. 33.3x + 5y = 21 and 5x + 3y = 19 →
  34. 34.5x + 3y = 31 and 2x − 4y = −24 →
  35. 35.2x + 3y = −18 and 3x + 2y = −7 →
  36. 36.3x + 3y = −15 and 3x − y = −7 →
  37. 37.x + 2y = 10 and x − 3y = −5 →
  38. 38.x + 6y = 14 and 6x + y = 49 →
  39. 39.x − 3y = −30 and x + 3y = 12 →
  40. 40.4x + 6y = −16 and 6x + 4y = −34 →

Answer key

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

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