← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 522 · 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.x − 6y = −49 and 5x − y = −13 →
  2. 2.3x + 5y = 37 and 4x + 3y = 20 →
  3. 3.6x − y = −55 and 3x + 3y = −3 →
  4. 4.5x + 6y = 26 and 6x + 5y = 18 →
  5. 5.3x + 3y = −12 and 2x − 6y = 48 →
  6. 6.2x + y = −5 and 2x + 5y = 15 →
  7. 7.5x + 2y = −12 and 2x + 5y = 12 →
  8. 8.2x − y = −3 and 3x − 2y = −8 →
  9. 9.7x + 2y = −56 and 2x + 7y = −61 →
  10. 10.4x + 2y = −2 and 2x + 4y = 2 →
  11. 11.7x + 4y = 72 and 4x + 7y = 60 →
  12. 12.3x − 2y = 21 and 2x + 3y = 27 →
  13. 13.x + 2y = 4 and x − 5y = −3 →
  14. 14.x + 3y = 27 and 3x + y = 25 →
  15. 15.4x + 2y = 44 and 3x + 5y = 61 →
  16. 16.x + 4y = −24 and 2x + y = 1 →
  17. 17.5x − y = 25 and 3x + 2y = 2 →
  18. 18.8x + 5y = 13 and 5x + 8y = 13 →
  19. 19.x + 2y = −20 and 6x + 5y = −78 →
  20. 20.6x + 2y = 26 and 2x + 6y = −2 →
  21. 21.5x − 2y = 6 and 4x − 5y = −2 →
  22. 22.6x + 5y = −22 and x + 2y = 1 →
  23. 23.9x + 2y = 28 and 2x + 9y = −28 →
  24. 24.6x + 4y = 14 and 4x + 6y = 6 →
  25. 25.6x − 2y = −24 and 4x + 3y = −55 →
  26. 26.4x + 5y = 3 and x − 5y = 32 →
  27. 27.3x + 8y = 18 and 8x + 3y = −7 →
  28. 28.5x + y = 11 and 2x + y = 8 →
  29. 29.2x − 2y = 10 and 3x + 6y = 33 →
  30. 30.3x + y = 16 and x + 3y = −8 →
  31. 31.2x + 3y = 19 and 6x − 6y = 12 →
  32. 32.2x + 4y = −26 and 5x − 2y = −29 →
  33. 33.2x − 5y = 4 and 3x − 6y = 9 →
  34. 34.4x + 6y = −42 and 2x + 6y = −24 →
  35. 35.6x + 2y = 58 and 6x + 5y = 64 →
  36. 36.3x + 5y = −34 and 5x + 3y = −14 →
  37. 37.5x + 2y = 31 and 4x − 6y = 2 →
  38. 38.5x − 2y = 58 and x + 4y = −28 →
  39. 39.x + 6y = −27 and 6x + y = 13 →
  40. 40.x + 2y = −9 and 2x + y = 3 →

Answer key

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

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