← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 295 · 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 = 19 and 3x + 4y = 1 →
  2. 2.7x + 4y = 57 and 4x + 7y = 42 →
  3. 3.x + y = 1 and 2x + 3y = −2 →
  4. 4.9x + 5y = 50 and 5x + 9y = 34 →
  5. 5.x − 4y = 34 and 4x − 2y = 24 →
  6. 6.9x + 5y = −58 and 5x + 9y = −82 →
  7. 7.4x − 3y = 29 and 6x + 2y = 50 →
  8. 8.7x + 9y = 26 and 9x + 7y = 38 →
  9. 9.x + 2y = 8 and 5x − 5y = −5 →
  10. 10.2x + 2y = 0 and x + 4y = −12 →
  11. 11.2x + 6y = −18 and 6x + 6y = −30 →
  12. 12.x + 2y = −1 and 3x − 4y = 17 →
  13. 13.5x + 5y = 0 and x + 5y = 12 →
  14. 14.x + 3y = 9 and x + y = 5 →
  15. 15.5x + 2y = 46 and 2x + 5y = 31 →
  16. 16.6x + 2y = −44 and 2x − 3y = −22 →
  17. 17.6x + y = −40 and x + 6y = 40 →
  18. 18.5x + 6y = −1 and 6x + 3y = 3 →
  19. 19.5x − y = 48 and 2x − y = 24 →
  20. 20.x + 6y = −33 and 6x + 2y = −62 →
  21. 21.6x − y = 5 and 4x + 5y = 43 →
  22. 22.6x + y = 12 and x − 2y = −11 →
  23. 23.3x − 3y = 27 and 4x + 4y = 20 →
  24. 24.2x + 4y = 20 and 4x + 2y = 16 →
  25. 25.4x + 4y = −20 and x + 6y = 5 →
  26. 26.5x + y = 31 and x + 5y = −37 →
  27. 27.5x − 2y = 49 and 6x + 3y = 21 →
  28. 28.6x + 5y = 16 and 6x − 2y = −40 →
  29. 29.4x + y = 12 and 2x + 2y = 18 →
  30. 30.4x + 7y = −8 and 7x + 4y = −47 →
  31. 31.x + y = 6 and 6x + y = 31 →
  32. 32.4x + 5y = 9 and 4x + y = 21 →
  33. 33.6x + 5y = 28 and 6x + y = 20 →
  34. 34.5x − 6y = −68 and 4x + y = −8 →
  35. 35.8x + 7y = 53 and 7x + 8y = 52 →
  36. 36.6x − 3y = 6 and 3x − 3y = 0 →
  37. 37.8x + 4y = 0 and 4x + 8y = 36 →
  38. 38.3x + 6y = −42 and 6x + 4y = −60 →
  39. 39.8x + 5y = 23 and 5x + 8y = −10 →
  40. 40.5x + 4y = −26 and 5x + y = −14 →

Answer key

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

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