← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 152 · 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 + 6y = 26 and 3x − 5y = −17 →
  2. 2.4x + 3y = 23 and 6x − 2y = 54 →
  3. 3.2x + 8y = −8 and 8x + 2y = 28 →
  4. 4.2x + 6y = 28 and 4x + 6y = 14 →
  5. 5.4x + 5y = −24 and 6x − 5y = 64 →
  6. 6.4x + 3y = −7 and 6x + 2y = −18 →
  7. 7.x + 8y = 33 and 8x + y = 12 →
  8. 8.3x + 4y = −3 and 4x + 3y = 10 →
  9. 9.8x + 9y = 127 and 9x + 8y = 128 →
  10. 10.6x + y = −10 and 4x − 2y = 4 →
  11. 11.x + 8y = −76 and 8x + y = −41 →
  12. 12.6x − 6y = −90 and 6x + 5y = −13 →
  13. 13.8x + 5y = −69 and 5x + 8y = −48 →
  14. 14.x − 2y = 22 and 2x + 6y = −26 →
  15. 15.5x + 5y = 5 and 2x − 4y = 38 →
  16. 16.4x + 6y = 42 and 3x + 6y = 36 →
  17. 17.6x + 2y = 20 and 2x + 6y = 28 →
  18. 18.2x + 5y = −26 and 5x + 5y = −20 →
  19. 19.5x − y = 2 and 6x − y = 3 →
  20. 20.2x + y = −15 and 5x + 3y = −40 →
  21. 21.4x − 4y = −64 and 5x + 2y = −17 →
  22. 22.3x + 4y = −11 and 6x + 6y = −12 →
  23. 23.6x + 6y = 72 and 2x + 4y = 42 →
  24. 24.4x + 2y = −10 and 2x + 4y = −14 →
  25. 25.5x + y = 53 and 3x − 4y = −5 →
  26. 26.x − 5y = −22 and 3x + 6y = −3 →
  27. 27.6x + 6y = 72 and 4x + 5y = 52 →
  28. 28.2x + 2y = 6 and x + 3y = −7 →
  29. 29.3x + 8y = 45 and 8x + 3y = 65 →
  30. 30.4x + 9y = −49 and 9x + 4y = −29 →
  31. 31.2x + y = 10 and 5x + 2y = 22 →
  32. 32.3x + 4y = −14 and 6x + 3y = −33 →
  33. 33.2x + 8y = −40 and 8x + 2y = 20 →
  34. 34.6x − 4y = −56 and x + 5y = 36 →
  35. 35.4x + 4y = 16 and 5x + 3y = 8 →
  36. 36.5x + y = 13 and 4x + 5y = 44 →
  37. 37.5x + 2y = 22 and 2x + 5y = −29 →
  38. 38.2x − 6y = −8 and x + 2y = 11 →
  39. 39.8x + 3y = 37 and 3x + 8y = 7 →
  40. 40.2x + 4y = −8 and 4x + 2y = −28 →

Answer key

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

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