← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 304 · 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 = 14 and 3x + 5y = 14 →
  2. 2.3x − 2y = 34 and 2x + 2y = −4 →
  3. 3.5x + 6y = −16 and 6x + 5y = −6 →
  4. 4.7x + y = −41 and x + 7y = 1 →
  5. 5.2x + y = 10 and 6x + 2y = 24 →
  6. 6.2x − 4y = 42 and 2x + 2y = −6 →
  7. 7.5x + 4y = 13 and 2x − 6y = −10 →
  8. 8.6x + 2y = 60 and 2x + 6y = 52 →
  9. 9.x − 3y = −14 and 5x − 4y = 7 →
  10. 10.2x + 4y = −22 and 4x + 2y = −8 →
  11. 11.8x + 9y = 73 and 9x + 8y = 80 →
  12. 12.3x + 3y = 15 and 5x + 6y = 28 →
  13. 13.x + 2y = −4 and 6x + 2y = 6 →
  14. 14.9x + 2y = 13 and 2x + 9y = −57 →
  15. 15.2x + 5y = 22 and 5x + 2y = 34 →
  16. 16.x − 2y = −16 and 5x − y = −35 →
  17. 17.3x + 6y = 39 and 6x + 3y = 15 →
  18. 18.2x + 3y = 22 and 3x + 2y = 13 →
  19. 19.4x + 9y = −42 and 9x + 4y = 3 →
  20. 20.x − 2y = 9 and 5x + y = 23 →
  21. 21.2x + 2y = 20 and 4x + y = 28 →
  22. 22.3x + y = 29 and 2x + y = 21 →
  23. 23.2x + 6y = 30 and x + 5y = 29 →
  24. 24.3x − y = −25 and 6x + 5y = −1 →
  25. 25.x + 3y = 27 and 5x + y = 37 →
  26. 26.5x + 8y = 36 and 8x + 5y = 3 →
  27. 27.2x + y = 5 and 2x − 5y = 23 →
  28. 28.2x + y = −27 and 5x + 2y = −63 →
  29. 29.3x + 5y = 14 and x − 4y = −18 →
  30. 30.2x + 2y = 10 and 6x + 4y = 28 →
  31. 31.5x − 4y = 31 and x − 2y = 5 →
  32. 32.5x + 5y = −10 and 2x + 6y = 20 →
  33. 33.3x + 2y = −4 and 2x + 3y = −16 →
  34. 34.4x + 8y = −44 and 8x + 4y = −52 →
  35. 35.x − 2y = −13 and 3x + 6y = 33 →
  36. 36.7x + y = −32 and x + 7y = 16 →
  37. 37.3x + y = −11 and x + 3y = −25 →
  38. 38.2x + 4y = 24 and 2x − y = −16 →
  39. 39.4x + 2y = 18 and 2x + 4y = 0 →
  40. 40.x + 8y = 11 and 8x + y = 25 →

Answer key

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

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