← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 106 · 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. 1.3x + 2y = −4 and 4x − y = −31 →
  2. 2.6x + y = 22 and x + 3y = 15 →
  3. 3.x + 4y = 26 and 4x + y = 14 →
  4. 4.3x + 2y = 9 and 3x + 6y = 21 →
  5. 5.x + 2y = 8 and 2x + y = 13 →
  6. 6.3x + y = −14 and x + 3y = 6 →
  7. 7.5x + 6y = 34 and x − 5y = −18 →
  8. 8.4x + 2y = 0 and 5x + 2y = 1 →
  9. 9.x + 7y = 55 and 7x + y = 1 →
  10. 10.2x + 2y = −12 and 4x − 4y = −8 →
  11. 11.3x + 4y = 26 and 4x + 5y = 33 →
  12. 12.3x − 2y = −1 and 5x + y = 20 →
  13. 13.3x − 4y = −8 and x + y = 9 →
  14. 14.4x − 6y = −46 and 5x + 4y = 46 →
  15. 15.6x − y = −36 and 2x − 4y = 10 →
  16. 16.3x + 3y = 30 and 4x + 2y = 22 →
  17. 17.6x + y = −38 and x + 6y = 17 →
  18. 18.8x + 4y = −32 and 4x + 8y = −4 →
  19. 19.6x − 3y = −18 and 4x + 6y = 4 →
  20. 20.5x + 6y = 47 and 6x + 5y = 41 →
  21. 21.4x + y = −10 and x + 4y = −25 →
  22. 22.4x + 3y = 19 and x + 4y = −5 →
  23. 23.4x + y = 40 and x + 4y = 40 →
  24. 24.4x − 3y = −11 and 6x + 5y = −83 →
  25. 25.5x + 4y = −23 and 5x + 6y = −27 →
  26. 26.2x + 5y = 63 and 5x + 2y = 63 →
  27. 27.4x − 6y = −26 and x + 3y = 34 →
  28. 28.3x + y = −18 and 5x + 6y = 9 →
  29. 29.3x + 8y = 10 and 8x + 3y = −10 →
  30. 30.x + 6y = 43 and x + 4y = 27 →
  31. 31.x − 4y = 1 and 2x + 2y = 22 →
  32. 32.3x + 9y = −78 and 9x + 3y = −18 →
  33. 33.7x + y = 22 and x + 7y = 10 →
  34. 34.7x + 8y = 23 and 8x + 7y = 22 →
  35. 35.6x + 4y = 22 and 4x + 6y = 18 →
  36. 36.7x + 2y = 35 and 2x + 7y = −35 →
  37. 37.3x − 4y = 21 and 2x − 2y = 12 →
  38. 38.5x + 6y = 49 and 6x + 5y = 50 →
  39. 39.5x − y = 12 and 4x − 6y = −32 →
  40. 40.2x − y = 3 and 2x − 3y = −11 →

Answer key

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

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