← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 926 · 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 + 6y = 68 and 6x + 4y = 72 →
  2. 2.3x + 5y = 39 and 5x + 3y = 49 →
  3. 3.x + 4y = 25 and 4x + y = 10 →
  4. 4.3x + 6y = 27 and 2x + y = 15 →
  5. 5.5x + 2y = −30 and 4x + 3y = −17 →
  6. 6.3x − 4y = 10 and 4x + 6y = 2 →
  7. 7.5x − y = 36 and 2x + 5y = 63 →
  8. 8.x + 9y = 56 and 9x + y = 24 →
  9. 9.2x + y = 4 and 2x + 2y = 12 →
  10. 10.4x − 4y = −8 and 4x + 3y = 27 →
  11. 11.3x + y = −6 and x + 3y = 14 →
  12. 12.6x − 2y = 26 and 5x + y = 19 →
  13. 13.6x − 3y = 33 and 3x + 3y = −15 →
  14. 14.3x − y = 14 and 3x − 2y = 16 →
  15. 15.2x + 4y = −18 and 2x + 6y = −36 →
  16. 16.x + 5y = −14 and 2x + 5y = −18 →
  17. 17.5x + y = 7 and x + 5y = −13 →
  18. 18.4x + y = 39 and 4x + 5y = 67 →
  19. 19.2x − 2y = −20 and x + 2y = 5 →
  20. 20.7x + 5y = 77 and 5x + 7y = 79 →
  21. 21.2x + 3y = −23 and 5x − y = 2 →
  22. 22.x + 4y = 10 and 3x − 2y = 2 →
  23. 23.6x + y = −27 and 4x − 4y = −4 →
  24. 24.6x − y = −33 and 2x + 5y = −27 →
  25. 25.3x + y = −1 and 4x + y = −2 →
  26. 26.x + y = −1 and 4x + y = −7 →
  27. 27.6x + 5y = 2 and 5x + 6y = 9 →
  28. 28.3x + 4y = 15 and 5x + 4y = 9 →
  29. 29.4x − 3y = −30 and 6x + 4y = −28 →
  30. 30.6x + 4y = −20 and 6x + y = −41 →
  31. 31.3x + 8y = 73 and 8x + 3y = 48 →
  32. 32.4x + 8y = 72 and 8x + 4y = 48 →
  33. 33.2x + 5y = 34 and 2x + 4y = 30 →
  34. 34.4x − 4y = 32 and 5x − y = 16 →
  35. 35.5x − 6y = −27 and 2x − 6y = −36 →
  36. 36.8x + 7y = −17 and 7x + 8y = −28 →
  37. 37.6x + 5y = 21 and 5x + 6y = 34 →
  38. 38.x + 9y = −34 and 9x + y = 14 →
  39. 39.x + 7y = −48 and 7x + y = 48 →
  40. 40.2x + y = 8 and x − 4y = −5 →

Answer key

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

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