← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 104 · 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 + 3y = −12 and 3x + y = −20 →
  2. 2.9x + 8y = 61 and 8x + 9y = 58 →
  3. 3.3x + 2y = −2 and 5x + 3y = −2 →
  4. 4.6x − 5y = 2 and x + 2y = −11 →
  5. 5.6x + 5y = 49 and x + y = 9 →
  6. 6.2x + 5y = −6 and 3x + 3y = −18 →
  7. 7.2x − 3y = 5 and 3x + y = 24 →
  8. 8.5x + 3y = 41 and 5x + y = 37 →
  9. 9.2x − 6y = 30 and 4x − 6y = 12 →
  10. 10.6x − 6y = −30 and 3x − 6y = −27 →
  11. 11.3x + 2y = 14 and 2x + 3y = 6 →
  12. 12.2x + y = 4 and x − 6y = −37 →
  13. 13.8x + 7y = 79 and 7x + 8y = 71 →
  14. 14.4x − 6y = 18 and x − 4y = −3 →
  15. 15.2x + 9y = −58 and 9x + 2y = 47 →
  16. 16.x + y = 8 and 5x − y = 34 →
  17. 17.7x + 3y = 32 and 3x + 7y = −32 →
  18. 18.3x + y = 14 and x + 5y = 0 →
  19. 19.9x + 5y = −3 and 5x + 9y = −39 →
  20. 20.x + 3y = −1 and 3x + y = 5 →
  21. 21.3x + 4y = 11 and 4x + y = 6 →
  22. 22.2x + 5y = 36 and 2x + y = 12 →
  23. 23.6x + y = 31 and x + 6y = 46 →
  24. 24.4x + 9y = 72 and 9x + 4y = 97 →
  25. 25.2x − 6y = −46 and 2x + 5y = 9 →
  26. 26.5x + 6y = −11 and 2x + 4y = −6 →
  27. 27.4x + 5y = 25 and 5x + 4y = 29 →
  28. 28.6x + 5y = 41 and 2x − 6y = 6 →
  29. 29.4x + y = 15 and 3x + 3y = 27 →
  30. 30.x + y = 8 and 2x + 6y = 28 →
  31. 31.5x + 4y = 21 and 5x + 5y = 30 →
  32. 32.4x − 5y = 28 and 2x − 2y = 12 →
  33. 33.2x + 3y = 30 and x − 5y = −37 →
  34. 34.3x + 5y = 47 and x + y = 11 →
  35. 35.7x + 8y = 48 and 8x + 7y = 57 →
  36. 36.8x + 7y = 2 and 7x + 8y = −2 →
  37. 37.6x + y = 43 and 4x + 4y = 12 →
  38. 38.2x + y = 1 and 5x + y = 13 →
  39. 39.x + 9y = −52 and 9x + y = 12 →
  40. 40.3x + 2y = 5 and x + 2y = 3 →

Answer key

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

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