← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 982 · 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 + y = 18 and x − 3y = 2 →
  2. 2.6x + 5y = 71 and x − y = −1 →
  3. 3.3x + 3y = 30 and 6x − 3y = 33 →
  4. 4.4x − y = 18 and 3x + 6y = 54 →
  5. 5.5x + 3y = −2 and 3x + 5y = 18 →
  6. 6.x + 2y = −2 and 4x − 5y = 44 →
  7. 7.5x − y = 33 and 5x − 3y = 19 →
  8. 8.2x − 6y = −30 and 2x − y = 5 →
  9. 9.8x + y = 4 and x + 8y = −31 →
  10. 10.4x + 5y = 21 and 6x − 4y = 66 →
  11. 11.2x + y = −11 and x + 2y = −16 →
  12. 12.5x + 6y = 26 and 2x + 5y = 26 →
  13. 13.3x + 9y = 9 and 9x + 3y = −45 →
  14. 14.6x + 2y = 10 and 3x − 3y = −27 →
  15. 15.6x + y = −3 and x − y = 10 →
  16. 16.2x + 5y = 23 and x + 2y = 11 →
  17. 17.4x + 4y = 20 and 6x − 6y = −54 →
  18. 18.5x + y = −41 and x + 5y = −37 →
  19. 19.4x − 2y = −50 and 5x + 5y = −10 →
  20. 20.2x − 3y = 7 and 2x − 6y = −2 →
  21. 21.3x + 5y = 46 and 5x + 3y = 50 →
  22. 22.x + 6y = 33 and 2x + 2y = 16 →
  23. 23.6x − y = 43 and x + 5y = 2 →
  24. 24.4x + 4y = 44 and 4x − 4y = −28 →
  25. 25.5x + 6y = −10 and 6x + 2y = 14 →
  26. 26.2x + 3y = −6 and x − y = −8 →
  27. 27.2x + 4y = −14 and 6x − 5y = 77 →
  28. 28.5x + 5y = 65 and 5x − 2y = 30 →
  29. 29.7x + 4y = 18 and 4x + 7y = 15 →
  30. 30.2x − 5y = −33 and 4x − 2y = −10 →
  31. 31.2x − 4y = 18 and 6x + 4y = −10 →
  32. 32.4x + 2y = 28 and 5x + 3y = 38 →
  33. 33.5x + 3y = −22 and 3x + 5y = 6 →
  34. 34.6x + 3y = 0 and 3x + 6y = −9 →
  35. 35.4x − 6y = −12 and 2x + 3y = 42 →
  36. 36.6x − 6y = −6 and 2x + 6y = 38 →
  37. 37.6x + y = 26 and 5x − y = 7 →
  38. 38.9x + 3y = 108 and 3x + 9y = 108 →
  39. 39.5x + 6y = 65 and 2x + 4y = 34 →
  40. 40.6x + 4y = −8 and 4x + 6y = −2 →

Answer key

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

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