← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 250 · 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 + 2y = −2 and 4x + 6y = −14 →
  2. 2.9x + 2y = −12 and 2x + 9y = 23 →
  3. 3.4x + 2y = −24 and 6x − 6y = −72 →
  4. 4.2x + 5y = 22 and 5x + 2y = 13 →
  5. 5.3x + 9y = −108 and 9x + 3y = −108 →
  6. 6.3x − 4y = 5 and 3x + 3y = 12 →
  7. 7.x + y = −2 and 2x + 5y = −25 →
  8. 8.5x − 6y = 33 and 3x − 6y = 27 →
  9. 9.9x + 8y = −5 and 8x + 9y = −12 →
  10. 10.2x + 3y = 10 and 4x − 6y = −28 →
  11. 11.2x + 2y = 2 and 3x + 4y = 8 →
  12. 12.8x + 7y = 77 and 7x + 8y = 73 →
  13. 13.4x − 3y = −1 and 4x − y = −3 →
  14. 14.2x + 3y = 18 and 5x − y = 28 →
  15. 15.x + y = 11 and 3x − 5y = 1 →
  16. 16.3x + 4y = 24 and 2x + y = 11 →
  17. 17.2x + 5y = 10 and 3x + 5y = 5 →
  18. 18.5x + y = −33 and x + 5y = 27 →
  19. 19.4x − 5y = 17 and 3x − 2y = 4 →
  20. 20.2x + 2y = 6 and 6x − y = 32 →
  21. 21.3x + 2y = 21 and 6x − y = 12 →
  22. 22.3x + 5y = −2 and x − 2y = 3 →
  23. 23.4x + y = −15 and 5x + y = −20 →
  24. 24.5x + 6y = −8 and 6x + 5y = −14 →
  25. 25.3x + y = 0 and 2x + 2y = 4 →
  26. 26.3x + y = −36 and 5x + 6y = −99 →
  27. 27.4x − 4y = 16 and 3x + 3y = 24 →
  28. 28.x + 2y = 13 and 4x + y = 10 →
  29. 29.9x + 8y = −54 and 8x + 9y = −65 →
  30. 30.2x + 4y = −40 and 4x + 2y = −44 →
  31. 31.3x + y = −25 and 6x + 4y = −58 →
  32. 32.4x + 6y = 32 and 5x + 6y = 31 →
  33. 33.6x − 3y = 9 and 3x + 2y = 36 →
  34. 34.6x + y = −12 and 4x + 5y = 18 →
  35. 35.3x + 8y = −1 and 8x + 3y = −21 →
  36. 36.x − 2y = 15 and x − 6y = 31 →
  37. 37.2x + y = −2 and 6x + 5y = −2 →
  38. 38.6x − y = −60 and 6x + 5y = −24 →
  39. 39.4x + 2y = 36 and x − y = 0 →
  40. 40.5x + 3y = −29 and 6x + 5y = −46 →

Answer key

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

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