← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 827 · 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 + 9y = −63 and 9x + 6y = −27 →
  2. 2.9x + 6y = −48 and 6x + 9y = −12 →
  3. 3.3x − 4y = 4 and 5x + 2y = 50 →
  4. 4.x − y = −6 and 2x + 3y = 28 →
  5. 5.2x + 2y = 24 and 2x − 2y = 4 →
  6. 6.x + 6y = 15 and 6x + y = −50 →
  7. 7.2x − 5y = −8 and x + 6y = 30 →
  8. 8.x − 4y = −19 and 6x + 5y = 60 →
  9. 9.5x − 3y = 17 and 6x + 5y = 72 →
  10. 10.x + 5y = −2 and 5x + y = −34 →
  11. 11.2x + 4y = 16 and 3x + 3y = 21 →
  12. 12.x + y = −11 and 3x + 4y = −36 →
  13. 13.x − 6y = −15 and 3x + 2y = −25 →
  14. 14.x + 5y = 49 and 6x + 3y = 78 →
  15. 15.5x + 2y = 29 and 5x − y = 23 →
  16. 16.3x + 2y = 26 and 4x − 4y = 28 →
  17. 17.2x + 5y = 23 and 5x + 4y = 32 →
  18. 18.5x + y = 22 and 3x − 3y = −12 →
  19. 19.8x + 2y = 2 and 2x + 8y = 68 →
  20. 20.7x + 5y = 34 and 5x + 7y = 38 →
  21. 21.4x − 5y = −37 and 4x − y = −1 →
  22. 22.2x + 2y = 6 and 6x + 5y = 19 →
  23. 23.x + 4y = −4 and x + y = −7 →
  24. 24.3x − y = −20 and x + 4y = 15 →
  25. 25.2x + y = 3 and 2x + 2y = 2 →
  26. 26.6x + y = 7 and 5x + 6y = 11 →
  27. 27.9x + 7y = −54 and 7x + 9y = −74 →
  28. 28.x + 7y = 14 and 7x + y = 50 →
  29. 29.3x + 2y = 29 and 2x + 3y = 31 →
  30. 30.4x + 8y = 100 and 8x + 4y = 92 →
  31. 31.7x + 8y = −43 and 8x + 7y = −32 →
  32. 32.x + 8y = −73 and 8x + y = −17 →
  33. 33.4x + 2y = 46 and 4x + 4y = 56 →
  34. 34.3x − 3y = 36 and 6x + y = 23 →
  35. 35.2x + y = −21 and x + 2y = −18 →
  36. 36.2x − 3y = −16 and 5x + 5y = −15 →
  37. 37.6x − 5y = 2 and 5x − 4y = 2 →
  38. 38.6x − 5y = −3 and 4x + y = 11 →
  39. 39.2x + 2y = 18 and 3x + 4y = 32 →
  40. 40.3x + 6y = 21 and 6x + 3y = 33 →

Answer key

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

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