← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 673 · 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. 1.8x + 5y = −19 and 5x + 8y = 32 →
  2. 2.3x + 2y = 13 and 2x + 3y = 7 →
  3. 3.6x − 3y = 3 and x + 3y = −24 →
  4. 4.7x + 4y = 31 and 4x + 7y = 46 →
  5. 5.x − 3y = 17 and x + 6y = −19 →
  6. 6.2x + 6y = 52 and 2x − 3y = −29 →
  7. 7.5x + 6y = 13 and 6x + 5y = 20 →
  8. 8.4x + 6y = −20 and 6x + 4y = −40 →
  9. 9.x + 3y = 11 and 3x + 6y = 27 →
  10. 10.6x + 2y = −6 and 2x + 6y = −50 →
  11. 11.x + y = 3 and 3x + y = 13 →
  12. 12.9x + 4y = 104 and 4x + 9y = 104 →
  13. 13.2x + 4y = 40 and 5x − 3y = 9 →
  14. 14.4x + y = −19 and 6x − y = −21 →
  15. 15.6x + 4y = −58 and 6x − 2y = −52 →
  16. 16.4x − y = 3 and 6x − 5y = −27 →
  17. 17.x + 9y = 1 and 9x + y = −71 →
  18. 18.4x + y = 35 and 3x + y = 27 →
  19. 19.4x − 5y = 6 and 6x + 2y = 66 →
  20. 20.7x + y = 21 and x + 7y = −45 →
  21. 21.2x + 6y = −24 and 6x + 2y = 40 →
  22. 22.5x + 6y = −93 and 2x + 4y = −50 →
  23. 23.5x + 7y = 30 and 7x + 5y = 18 →
  24. 24.3x + 4y = −13 and 4x + 3y = −15 →
  25. 25.2x + 4y = −34 and x − 3y = 13 →
  26. 26.3x + 5y = 18 and 2x + 3y = 11 →
  27. 27.x + 2y = 18 and 5x − 4y = −22 →
  28. 28.6x + 3y = 48 and 2x + 3y = 24 →
  29. 29.3x + 5y = −28 and 6x + 4y = −44 →
  30. 30.5x + 2y = −6 and 2x + 5y = −36 →
  31. 31.7x + 9y = 86 and 9x + 7y = 74 →
  32. 32.x + 6y = 62 and 4x − 6y = −22 →
  33. 33.2x + 4y = −20 and 4x + 2y = −16 →
  34. 34.2x + 5y = 1 and x + y = −4 →
  35. 35.2x + y = −3 and 3x + 2y = −1 →
  36. 36.9x + 3y = 75 and 3x + 9y = 81 →
  37. 37.x − 5y = −11 and 3x − 2y = 6 →
  38. 38.5x + 6y = 67 and 6x + 5y = 65 →
  39. 39.7x + 4y = −13 and 4x + 7y = 35 →
  40. 40.2x + 7y = −6 and 7x + 2y = 24 →

Answer key

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

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