← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 179 · 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.x + 5y = 4 and 3x + 6y = 3 →
  2. 2.2x − 3y = −35 and x + 2y = 7 →
  3. 3.x + 6y = 20 and 4x + 4y = 40 →
  4. 4.6x + 5y = 34 and 5x + 6y = 43 →
  5. 5.4x + y = 25 and x + 4y = −5 →
  6. 6.9x + 4y = 74 and 4x + 9y = 69 →
  7. 7.3x − 4y = 38 and 4x + y = 0 →
  8. 8.5x − 4y = 12 and 5x − 6y = −2 →
  9. 9.4x + 3y = 5 and 2x + 4y = 20 →
  10. 10.4x + 9y = 76 and 9x + 4y = 41 →
  11. 11.6x + 2y = 20 and x − 6y = −3 →
  12. 12.9x + 7y = 71 and 7x + 9y = 73 →
  13. 13.6x + 3y = −39 and x − 2y = 6 →
  14. 14.6x + 3y = 33 and 2x + 5y = 23 →
  15. 15.6x + y = −35 and x + 6y = 35 →
  16. 16.2x − 2y = −14 and 5x + 5y = 15 →
  17. 17.x + 5y = 18 and 6x − 3y = 42 →
  18. 18.5x + 6y = 16 and 4x + 4y = 12 →
  19. 19.3x − 2y = −10 and 3x + 6y = −42 →
  20. 20.7x + 4y = −31 and 4x + 7y = 20 →
  21. 21.x + 5y = 6 and 5x + y = −18 →
  22. 22.4x − y = 17 and x − 3y = −15 →
  23. 23.x + y = −7 and 5x + 6y = −33 →
  24. 24.4x + 5y = −9 and x + 6y = −45 →
  25. 25.2x + 3y = 7 and 5x + 3y = 13 →
  26. 26.2x + 5y = −39 and 5x + 2y = −24 →
  27. 27.2x + y = 10 and x + 2y = 8 →
  28. 28.4x + y = 13 and 6x − 4y = 36 →
  29. 29.2x − 2y = 12 and x + 3y = 2 →
  30. 30.6x − 2y = −20 and 2x + y = 0 →
  31. 31.5x + y = −39 and 6x + 2y = −50 →
  32. 32.4x + 2y = 26 and 2x + 3y = 15 →
  33. 33.5x + 4y = 73 and 4x + 5y = 71 →
  34. 34.6x + 2y = −6 and 2x + 6y = −34 →
  35. 35.2x + y = 20 and 2x + 3y = 24 →
  36. 36.2x + y = −12 and x − 6y = 20 →
  37. 37.4x + 7y = 19 and 7x + 4y = 25 →
  38. 38.3x + 4y = −9 and 5x + y = 2 →
  39. 39.6x − 2y = 72 and 3x − 2y = 45 →
  40. 40.5x + 6y = −26 and 2x + 2y = −10 →

Answer key

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

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