← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 601 · 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 = −15 and 3x + 7y = 45 →
  2. 2.8x + y = −39 and x + 8y = 3 →
  3. 3.x + y = 15 and 6x + y = 60 →
  4. 4.x − 6y = 37 and x − y = 2 →
  5. 5.8x + 5y = 48 and 5x + 8y = 69 →
  6. 6.5x + 7y = 50 and 7x + 5y = 46 →
  7. 7.5x + y = 21 and x + 4y = 8 →
  8. 8.4x + y = 17 and x + 4y = 23 →
  9. 9.x + 9y = 28 and 9x + y = −68 →
  10. 10.3x + 4y = 44 and 4x + 3y = 47 →
  11. 11.4x + 2y = −6 and 2x − 5y = −57 →
  12. 12.4x + 4y = −24 and 4x + 3y = −22 →
  13. 13.6x + y = −21 and x − 4y = −16 →
  14. 14.2x + y = −4 and x + 2y = −11 →
  15. 15.3x + y = 25 and x + 6y = 48 →
  16. 16.7x + 6y = 15 and 6x + 7y = −2 →
  17. 17.x + 4y = 31 and 4x + 5y = 58 →
  18. 18.4x + 3y = 6 and 3x + 4y = 15 →
  19. 19.6x + 4y = −46 and 3x − 3y = 12 →
  20. 20.3x + 8y = −56 and 8x + 3y = −76 →
  21. 21.x + 6y = 37 and 4x + 6y = 40 →
  22. 22.8x + 2y = 32 and 2x + 8y = 68 →
  23. 23.2x + 5y = −7 and 6x + y = −35 →
  24. 24.2x + y = 5 and x + 2y = 4 →
  25. 25.x + y = −2 and x − 2y = 22 →
  26. 26.7x + y = 10 and x + 7y = 22 →
  27. 27.7x + 2y = −35 and 2x + 7y = 35 →
  28. 28.2x − 5y = −35 and x + 3y = 32 →
  29. 29.3x + 4y = −2 and 4x − 6y = 20 →
  30. 30.2x + y = −12 and x − y = 0 →
  31. 31.9x + 5y = −64 and 5x + 9y = −48 →
  32. 32.3x − 4y = −18 and 3x + 6y = 42 →
  33. 33.5x + 3y = 12 and 3x + 5y = 4 →
  34. 34.x + y = 11 and 5x − 5y = −5 →
  35. 35.x + 6y = 37 and 6x + y = 12 →
  36. 36.5x + y = 39 and 2x + 4y = 48 →
  37. 37.2x + 3y = −7 and 3x + y = −14 →
  38. 38.6x + 8y = 88 and 8x + 6y = 80 →
  39. 39.4x + 2y = 0 and 2x + 4y = 6 →
  40. 40.8x + 6y = −40 and 6x + 8y = −58 →

Answer key

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

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