← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 358 · 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 + 2y = 13 and 2x + y = 17 →
  2. 2.4x + 5y = −7 and 6x − 2y = 56 →
  3. 3.4x + 6y = 32 and 6x + 4y = 38 →
  4. 4.x + 3y = 14 and 4x − 4y = −8 →
  5. 5.x + 2y = 1 and 4x − 3y = 48 →
  6. 6.4x + 5y = 34 and 3x + 2y = 15 →
  7. 7.6x − 5y = 22 and 4x + 4y = 0 →
  8. 8.x + y = 0 and 3x + 6y = 9 →
  9. 9.2x − 4y = 18 and 2x + 2y = −6 →
  10. 10.6x + 2y = −14 and x − 4y = −37 →
  11. 11.x − y = −4 and x + y = 0 →
  12. 12.x + 4y = 38 and 6x + 4y = 48 →
  13. 13.x + 5y = 24 and x + 2y = 12 →
  14. 14.6x + 5y = 61 and 3x − 2y = 8 →
  15. 15.8x + y = 14 and x + 8y = −14 →
  16. 16.6x − y = 44 and 5x − 2y = 39 →
  17. 17.x + 8y = −16 and 8x + y = 61 →
  18. 18.5x + y = −37 and 4x + 5y = −38 →
  19. 19.4x + 6y = −14 and 6x + 4y = −26 →
  20. 20.4x − 4y = −4 and x + 4y = 34 →
  21. 21.6x + 7y = −62 and 7x + 6y = −55 →
  22. 22.5x − 4y = 2 and 3x + 4y = 46 →
  23. 23.3x − 4y = −37 and x + 5y = 32 →
  24. 24.9x + y = 18 and x + 9y = 82 →
  25. 25.5x + 2y = 36 and 3x − 4y = 6 →
  26. 26.x + 3y = 29 and 3x + y = 31 →
  27. 27.6x + 9y = 6 and 9x + 6y = 24 →
  28. 28.8x + 4y = −52 and 4x + 8y = −8 →
  29. 29.3x + y = 13 and x + 3y = 15 →
  30. 30.3x + 3y = 24 and 6x + 4y = 36 →
  31. 31.2x − y = −11 and x + 5y = 33 →
  32. 32.x − 2y = −15 and 4x + 2y = 10 →
  33. 33.4x + 6y = 46 and 6x + 4y = 44 →
  34. 34.7x + y = 22 and x + 7y = 10 →
  35. 35.x + 2y = −6 and 4x − 5y = 28 →
  36. 36.4x − 3y = 2 and x + 2y = 17 →
  37. 37.3x + 3y = 39 and 3x + 2y = 35 →
  38. 38.7x + y = −11 and x + 7y = −29 →
  39. 39.6x + y = 17 and x − 2y = 18 →
  40. 40.6x + 6y = 84 and 2x + y = 20 →

Answer key

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

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