← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 19 · 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. 1.5x + y = −11 and x + 5y = −31 →
  2. 2.3x − 2y = 5 and 5x + y = 30 →
  3. 3.6x − 6y = −30 and 2x + 5y = 39 →
  4. 4.4x + 5y = 29 and x + 3y = 9 →
  5. 5.x + 8y = 33 and 8x + y = −51 →
  6. 6.4x − 3y = −30 and 5x + y = −28 →
  7. 7.5x + 3y = 17 and x + 2y = −5 →
  8. 8.x + 3y = 20 and x + 6y = 35 →
  9. 9.3x + 2y = 24 and 2x + 3y = 21 →
  10. 10.6x + 3y = 9 and 2x + 6y = −42 →
  11. 11.6x − y = 2 and 6x + 6y = −54 →
  12. 12.6x − y = −35 and x − 2y = −4 →
  13. 13.x + y = 4 and 2x + y = 9 →
  14. 14.2x + 4y = 16 and x − 4y = −22 →
  15. 15.5x − 5y = 0 and x + 4y = 15 →
  16. 16.4x + 5y = −29 and 6x + 2y = 6 →
  17. 17.5x + 6y = −41 and 6x + 2y = −18 →
  18. 18.x + 3y = −13 and 3x + y = −7 →
  19. 19.6x + 5y = 2 and 3x − 5y = −29 →
  20. 20.3x + y = 16 and 2x + 5y = 15 →
  21. 21.5x + 6y = 78 and 6x + 4y = 68 →
  22. 22.5x + 2y = 13 and 4x − 6y = 18 →
  23. 23.4x + 2y = 18 and 2x + 4y = 12 →
  24. 24.5x + y = 17 and 3x + y = 9 →
  25. 25.4x + 7y = 30 and 7x + 4y = 36 →
  26. 26.x + y = 7 and 2x − 4y = −4 →
  27. 27.8x + 4y = 44 and 4x + 8y = 64 →
  28. 28.3x + 2y = 15 and 2x + 3y = 25 →
  29. 29.3x + 7y = 24 and 7x + 3y = −24 →
  30. 30.2x − 5y = −36 and x + 6y = 33 →
  31. 31.x + 6y = 60 and 6x + y = 45 →
  32. 32.5x − 4y = 17 and 2x + 5y = 53 →
  33. 33.7x + y = −32 and x + 7y = 16 →
  34. 34.2x + 3y = 31 and 3x + 2y = 34 →
  35. 35.3x + 2y = 3 and 2x + 3y = −13 →
  36. 36.x + 8y = 1 and 8x + y = −55 →
  37. 37.6x − y = −60 and 4x + y = −30 →
  38. 38.9x + 3y = 24 and 3x + 9y = −48 →
  39. 39.2x + 4y = 42 and 4x + 2y = 36 →
  40. 40.6x − 4y = −6 and 4x + 2y = 10 →

Answer key

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

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