← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 3 · 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. 1.6x + y = 8 and 4x + 4y = 12 →
  2. 2.5x + y = 17 and 4x + 6y = 50 →
  3. 3.3x − y = −18 and 3x + 2y = 9 →
  4. 4.9x + 8y = −16 and 8x + 9y = −1 →
  5. 5.5x − 2y = −31 and x + 5y = 37 →
  6. 6.4x − 6y = −16 and x − y = 0 →
  7. 7.6x − 2y = −48 and 6x − 5y = −66 →
  8. 8.8x + 5y = 101 and 5x + 8y = 107 →
  9. 9.8x + y = −50 and x + 8y = 41 →
  10. 10.x − 5y = 9 and x + 5y = −21 →
  11. 11.4x − 6y = 62 and 2x − 6y = 58 →
  12. 12.3x + 9y = −36 and 9x + 3y = −84 →
  13. 13.2x + 7y = −23 and 7x + 2y = 32 →
  14. 14.6x − 6y = −36 and 2x + 6y = 12 →
  15. 15.9x + 7y = −114 and 7x + 9y = −110 →
  16. 16.5x + 6y = 89 and 2x + y = 23 →
  17. 17.2x + 4y = −14 and 4x + 4y = −12 →
  18. 18.6x − 5y = 57 and 2x + 2y = −14 →
  19. 19.2x − 3y = 25 and x + 2y = 2 →
  20. 20.2x + 5y = 39 and 5x − 4y = −18 →
  21. 21.x − 6y = −34 and 5x + 2y = 22 →
  22. 22.4x + 4y = 36 and 3x + 4y = 33 →
  23. 23.2x + 3y = −7 and 3x − 3y = 42 →
  24. 24.6x + 4y = −12 and 3x − 5y = −69 →
  25. 25.6x + 5y = 72 and 6x + y = 48 →
  26. 26.x + 2y = 2 and x + y = −1 →
  27. 27.8x + 3y = 35 and 3x + 8y = 20 →
  28. 28.4x + 2y = −4 and 5x + 3y = −2 →
  29. 29.6x + 5y = 47 and 4x + 6y = 34 →
  30. 30.3x + 6y = 21 and 5x − 5y = −55 →
  31. 31.3x + 5y = 22 and 5x + 3y = 42 →
  32. 32.6x + y = −52 and x + 6y = 3 →
  33. 33.6x + y = 47 and x + 6y = 2 →
  34. 34.3x + 2y = 15 and x + 4y = 25 →
  35. 35.3x − 3y = 30 and x + 2y = −14 →
  36. 36.x + 5y = 42 and 6x − 6y = 0 →
  37. 37.2x + 4y = −8 and 4x + 2y = −28 →
  38. 38.x + 7y = 37 and 7x + y = 19 →
  39. 39.5x + 3y = 49 and 4x − y = 29 →
  40. 40.3x + 5y = 19 and 2x + y = 15 →

Answer key

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

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