← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 123 · 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. 1.6x − 4y = 66 and x − 5y = 37 →
  2. 2.6x + 4y = −18 and x + 3y = 4 →
  3. 3.2x − 6y = −10 and 5x − 6y = −7 →
  4. 4.3x − 4y = −6 and 5x + 2y = 16 →
  5. 5.3x + 6y = 57 and 6x + 4y = 58 →
  6. 6.8x + 4y = 20 and 4x + 8y = 28 →
  7. 7.3x + 5y = −20 and 6x + 2y = 16 →
  8. 8.7x + 5y = 23 and 5x + 7y = −11 →
  9. 9.3x + 2y = 2 and x + 4y = 14 →
  10. 10.2x + 3y = 18 and 4x + y = 16 →
  11. 11.5x + y = 13 and 4x − 3y = 18 →
  12. 12.3x + y = 29 and x + 3y = 15 →
  13. 13.4x + y = 9 and 5x − y = 0 →
  14. 14.3x + 2y = 23 and 4x + 5y = 47 →
  15. 15.3x + 2y = −24 and 2x + 3y = −21 →
  16. 16.4x − 6y = −22 and 5x − 5y = −10 →
  17. 17.6x − 4y = 30 and x + 6y = 25 →
  18. 18.3x + 6y = 12 and 6x + 3y = 42 →
  19. 19.6x + 4y = 10 and 4x + 6y = 10 →
  20. 20.2x + 3y = −45 and 3x + 2y = −45 →
  21. 21.4x − 6y = −64 and 5x + 3y = −17 →
  22. 22.8x + 3y = −22 and 3x + 8y = 33 →
  23. 23.5x + 4y = −55 and 4x + 5y = −53 →
  24. 24.9x + 6y = 12 and 6x + 9y = 48 →
  25. 25.2x + 4y = −16 and 4x + y = 24 →
  26. 26.2x + 3y = 28 and 3x + 5y = 44 →
  27. 27.6x + 4y = 34 and 4x − 2y = 18 →
  28. 28.4x + y = −6 and 2x − 3y = −10 →
  29. 29.4x + 2y = 42 and 2x + 4y = 48 →
  30. 30.5x − y = −6 and 3x − 3y = 18 →
  31. 31.3x + 6y = −9 and 6x + 2y = 32 →
  32. 32.5x + 2y = 53 and 2x + 5y = 38 →
  33. 33.4x + 6y = 22 and 6x + 4y = 8 →
  34. 34.6x + 4y = 58 and 5x − 6y = −17 →
  35. 35.4x + y = −24 and 6x + 4y = −26 →
  36. 36.7x + 9y = 53 and 9x + 7y = 59 →
  37. 37.3x + 6y = 27 and 2x − 6y = −2 →
  38. 38.3x − 6y = −15 and 6x − 6y = −12 →
  39. 39.2x − 3y = 4 and 2x + 5y = 36 →
  40. 40.x + 6y = 26 and 6x − 3y = 39 →

Answer key

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

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