← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 801 · 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. 1.4x + 2y = 8 and 2x + 4y = 10 →
  2. 2.4x + 6y = 4 and 4x + 2y = 12 →
  3. 3.x − 2y = −2 and 6x − y = 32 →
  4. 4.x + 2y = 13 and 2x + y = 14 →
  5. 5.4x + 2y = 16 and 6x + 6y = 36 →
  6. 6.x − 3y = −15 and 3x + y = 35 →
  7. 7.6x − 2y = −16 and 6x + 2y = −20 →
  8. 8.x + 8y = −22 and 8x + y = 13 →
  9. 9.3x + 6y = −45 and 6x + 3y = −9 →
  10. 10.3x − 5y = 2 and 6x − 2y = −4 →
  11. 11.6x + 4y = 20 and x + 6y = 14 →
  12. 12.6x + 4y = 2 and x − 6y = −33 →
  13. 13.2x + 5y = 19 and x − 5y = 2 →
  14. 14.x − 5y = −17 and 4x + 5y = 32 →
  15. 15.3x + 2y = 3 and 2x + 4y = 18 →
  16. 16.4x + 3y = 31 and 2x − 3y = −25 →
  17. 17.6x + 4y = 24 and x + 4y = 14 →
  18. 18.2x − 2y = −4 and 6x + y = 9 →
  19. 19.6x − y = 19 and 6x + y = 29 →
  20. 20.2x + 6y = 6 and 3x − y = −11 →
  21. 21.8x + 6y = 44 and 6x + 8y = 54 →
  22. 22.2x + 4y = 52 and 6x + y = 57 →
  23. 23.5x + 5y = 0 and 5x − 3y = −24 →
  24. 24.x − 5y = −37 and 3x + 2y = 8 →
  25. 25.6x + 4y = −70 and 4x + 6y = −60 →
  26. 26.4x + 4y = 8 and 4x − 3y = −34 →
  27. 27.5x + 8y = 22 and 8x + 5y = 4 →
  28. 28.x + 4y = 29 and 4x + 3y = 12 →
  29. 29.x + 3y = 20 and 4x + 5y = 38 →
  30. 30.5x + 6y = 28 and 6x + 4y = 24 →
  31. 31.5x + 6y = 3 and 6x + 5y = 8 →
  32. 32.3x + 5y = 17 and x − 4y = 17 →
  33. 33.4x + y = −16 and x + 4y = 26 →
  34. 34.6x − 2y = −72 and 2x + 3y = 9 →
  35. 35.6x + 2y = 14 and 2x + 6y = −38 →
  36. 36.2x + y = 1 and 3x + y = 4 →
  37. 37.x + 6y = 28 and 2x − 3y = −4 →
  38. 38.3x + 4y = 37 and x − 6y = −39 →
  39. 39.2x + 2y = 26 and x − 4y = −12 →
  40. 40.4x + y = 14 and 4x − 3y = 22 →

Answer key

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

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