← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 402 · 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 − 4y = 10 and 6x + 3y = −27 →
  2. 2.2x + 4y = 10 and 2x − 3y = −11 →
  3. 3.x − 4y = −15 and 6x + 4y = 50 →
  4. 4.x + 9y = −52 and 9x + y = −68 →
  5. 5.5x − y = −33 and 2x − 6y = −30 →
  6. 6.6x + 5y = 44 and 5x + 6y = 44 →
  7. 7.4x − 3y = −6 and 6x − 3y = 0 →
  8. 8.3x + 6y = 39 and 6x + 3y = 15 →
  9. 9.4x − 3y = 0 and 5x + 5y = 35 →
  10. 10.6x − y = 29 and 3x + 4y = −8 →
  11. 11.4x + 3y = 26 and 2x + 4y = 28 →
  12. 12.x + 3y = 7 and 3x + y = −11 →
  13. 13.4x + 8y = −96 and 8x + 4y = −84 →
  14. 14.8x + 9y = 67 and 9x + 8y = 69 →
  15. 15.5x + 2y = 37 and 2x + 5y = 19 →
  16. 16.4x + 6y = 50 and 2x − 5y = −31 →
  17. 17.3x + 6y = 27 and 6x + y = −45 →
  18. 18.2x + 4y = −38 and 5x + 2y = −39 →
  19. 19.6x − 5y = 51 and 4x − 3y = 33 →
  20. 20.x − 2y = −2 and x + 6y = 14 →
  21. 21.8x + y = −62 and x + 8y = 8 →
  22. 22.4x + 3y = −9 and x + 5y = 2 →
  23. 23.x − 5y = 42 and 5x − 5y = 50 →
  24. 24.2x + 4y = −38 and 2x + 6y = −54 →
  25. 25.x − 6y = 10 and 2x + 4y = 4 →
  26. 26.5x − y = −23 and 4x + 6y = 2 →
  27. 27.3x + 3y = 36 and 4x + 3y = 45 →
  28. 28.2x + 3y = 0 and 2x + y = 4 →
  29. 29.2x + y = 12 and 5x − y = 9 →
  30. 30.4x + 2y = −2 and 4x − 6y = 54 →
  31. 31.2x + 8y = −10 and 8x + 2y = −70 →
  32. 32.3x − 2y = 15 and 6x + 6y = 0 →
  33. 33.x + y = 9 and 2x + 5y = 33 →
  34. 34.x − y = 1 and 2x − 5y = 8 →
  35. 35.9x + 6y = 33 and 6x + 9y = 12 →
  36. 36.4x + 5y = 39 and 4x − 4y = −24 →
  37. 37.x + 7y = 47 and 7x + y = −7 →
  38. 38.x + 6y = −15 and 5x − 5y = 30 →
  39. 39.6x + 2y = −6 and 2x + 6y = 30 →
  40. 40.2x − 5y = −29 and 3x − y = 2 →

Answer key

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

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