← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 251 · 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. 1.8x + 2y = −50 and 2x + 8y = 10 →
  2. 2.3x + 6y = −51 and 6x + 3y = −48 →
  3. 3.6x + 2y = 18 and 2x + 6y = −10 →
  4. 4.6x − 5y = 74 and 2x + 3y = 6 →
  5. 5.2x + 6y = −40 and 6x + 2y = −24 →
  6. 6.2x + 5y = 36 and 5x + 2y = 6 →
  7. 7.x − 5y = 18 and 6x + 5y = 3 →
  8. 8.x − 4y = −3 and 2x + 6y = 8 →
  9. 9.2x + 4y = −16 and x + 6y = −28 →
  10. 10.x + 6y = −32 and 6x + y = −17 →
  11. 11.7x + 5y = −21 and 5x + 7y = 9 →
  12. 12.7x + 6y = 103 and 6x + 7y = 105 →
  13. 13.5x − 4y = 29 and 6x − y = 12 →
  14. 14.4x + 2y = 4 and x − 5y = −32 →
  15. 15.5x + 9y = 87 and 9x + 5y = 67 →
  16. 16.2x + 2y = −10 and x + 5y = −41 →
  17. 17.8x + 3y = 33 and 3x + 8y = −22 →
  18. 18.8x + 7y = 35 and 7x + 8y = 25 →
  19. 19.x − y = −9 and 5x + 2y = 11 →
  20. 20.8x + 6y = −6 and 6x + 8y = −36 →
  21. 21.7x + 6y = 30 and 6x + 7y = 22 →
  22. 22.x − 5y = 33 and 4x + 4y = −12 →
  23. 23.x + 6y = 38 and 5x − 3y = −8 →
  24. 24.2x + y = 15 and x + 3y = 30 →
  25. 25.4x − 2y = −34 and 2x − 2y = −18 →
  26. 26.5x + 2y = 19 and 5x − 4y = 7 →
  27. 27.3x + 5y = 64 and 5x + 3y = 64 →
  28. 28.2x + 3y = 9 and 3x − 3y = 6 →
  29. 29.9x + 3y = 90 and 3x + 9y = 54 →
  30. 30.2x − 5y = 33 and 3x − y = 30 →
  31. 31.2x − 2y = 20 and 3x − 6y = 51 →
  32. 32.3x − 5y = −22 and 6x − 2y = −4 →
  33. 33.x + y = 12 and 2x − y = −3 →
  34. 34.2x + y = −2 and 6x + 2y = −2 →
  35. 35.5x + 3y = 60 and 3x + 5y = 52 →
  36. 36.4x + y = −27 and x + 4y = 12 →
  37. 37.3x + 5y = 59 and 4x + 4y = 60 →
  38. 38.9x + 4y = −35 and 4x + 9y = −30 →
  39. 39.3x + y = 1 and 5x + 2y = −1 →
  40. 40.x − 2y = −10 and x − 4y = −26 →

Answer key

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

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