← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 965 · 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 = −31 and 4x + 6y = −52 →
  2. 2.x + 2y = −12 and 3x + 5y = −29 →
  3. 3.6x + 4y = 70 and 4x + y = 40 →
  4. 4.8x + 4y = 24 and 4x + 8y = −12 →
  5. 5.x + 8y = 50 and 8x + y = −41 →
  6. 6.x + y = 12 and x + 2y = 16 →
  7. 7.2x − 3y = −3 and x − y = 2 →
  8. 8.6x + y = −8 and x − 3y = −14 →
  9. 9.5x + 4y = 42 and 5x − 6y = 12 →
  10. 10.4x + 4y = 24 and 3x − 2y = −7 →
  11. 11.x + 2y = 3 and 4x + 3y = −3 →
  12. 12.8x + 6y = 12 and 6x + 8y = 30 →
  13. 13.2x + 9y = 39 and 9x + 2y = −17 →
  14. 14.x + 3y = −14 and 3x + y = −2 →
  15. 15.2x + 7y = −9 and 7x + 2y = 36 →
  16. 16.9x + 2y = 20 and 2x + 9y = 13 →
  17. 17.8x + 7y = 71 and 7x + 8y = 64 →
  18. 18.6x + 6y = 48 and 5x − 3y = 32 →
  19. 19.6x + y = 48 and 5x + 4y = 59 →
  20. 20.x + 3y = 10 and 3x + y = −18 →
  21. 21.6x + 3y = −15 and 2x + 4y = −14 →
  22. 22.x + 4y = 31 and 4x + y = 19 →
  23. 23.2x + 7y = 27 and 7x + 2y = −18 →
  24. 24.6x − 6y = 24 and 3x + y = 24 →
  25. 25.4x − 2y = −40 and x + 6y = 16 →
  26. 26.9x + 7y = −12 and 7x + 9y = −20 →
  27. 27.2x + 3y = 27 and 6x + y = 25 →
  28. 28.3x + 2y = 43 and 6x + y = 62 →
  29. 29.5x + y = −31 and 4x + 2y = −26 →
  30. 30.6x + 7y = −39 and 7x + 6y = −39 →
  31. 31.3x − 5y = 29 and x − 3y = 11 →
  32. 32.6x + 2y = −44 and x − 4y = −29 →
  33. 33.2x + 4y = −40 and 3x + 4y = −42 →
  34. 34.5x + 8y = −30 and 8x + 5y = −9 →
  35. 35.3x + 3y = −6 and x − 6y = −44 →
  36. 36.9x + y = 51 and x + 9y = 59 →
  37. 37.6x + 2y = 6 and 2x + 6y = −46 →
  38. 38.x + 4y = 25 and 4x − 3y = −33 →
  39. 39.6x + y = 15 and 2x − 2y = −2 →
  40. 40.2x − 6y = −14 and 5x − 3y = 1 →

Answer key

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

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