← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 136 · 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. 1.4x − y = 11 and x + 2y = 23 →
  2. 2.4x + y = 33 and 2x − 2y = 4 →
  3. 3.6x + y = 34 and x + 6y = −6 →
  4. 4.4x − 6y = 74 and 4x − 5y = 65 →
  5. 5.2x + y = 3 and 2x + 3y = 1 →
  6. 6.5x − 2y = −21 and 6x + 2y = 10 →
  7. 7.6x + 2y = 12 and x − 2y = −5 →
  8. 8.4x + 5y = 18 and 5x − 2y = −27 →
  9. 9.3x + 7y = 81 and 7x + 3y = 69 →
  10. 10.3x + y = 8 and 6x + 5y = 22 →
  11. 11.2x + 6y = 8 and 6x + 2y = 8 →
  12. 12.x + 5y = 19 and 5x + y = 47 →
  13. 13.4x + 5y = 39 and 5x + 6y = 48 →
  14. 14.9x + 4y = 52 and 4x + 9y = 52 →
  15. 15.5x + 5y = 30 and 6x − 5y = 69 →
  16. 16.6x + 3y = 18 and x + 5y = 21 →
  17. 17.3x + 9y = 57 and 9x + 3y = 3 →
  18. 18.8x + y = 79 and x + 8y = 65 →
  19. 19.5x − 5y = −45 and 4x − 5y = −37 →
  20. 20.5x + 6y = 47 and 6x + 5y = 41 →
  21. 21.4x + 2y = 30 and 2x − 4y = 20 →
  22. 22.9x + 2y = −24 and 2x + 9y = 46 →
  23. 23.5x + 6y = 28 and 3x − 5y = −9 →
  24. 24.6x − y = −3 and 3x + 5y = −18 →
  25. 25.6x − y = −14 and 3x + 2y = 13 →
  26. 26.4x + y = −7 and 2x + 2y = −2 →
  27. 27.3x + 3y = 0 and 6x + y = 45 →
  28. 28.x + 4y = 40 and 2x − 4y = −28 →
  29. 29.2x + 6y = 10 and 2x + 5y = 9 →
  30. 30.3x + y = 10 and 5x + 3y = 14 →
  31. 31.3x − 4y = −36 and 2x − y = −14 →
  32. 32.x − y = 0 and 6x + 3y = 9 →
  33. 33.x + 4y = −31 and x + y = −4 →
  34. 34.3x + 5y = 18 and 4x + 2y = −4 →
  35. 35.4x + 5y = 7 and 2x + 4y = −4 →
  36. 36.3x + 2y = −3 and 2x + 4y = 6 →
  37. 37.3x − 6y = 42 and 3x − 2y = 30 →
  38. 38.6x + 3y = 57 and 3x − 4y = −21 →
  39. 39.4x + 6y = 6 and 3x + y = −6 →
  40. 40.3x + 3y = 9 and 3x − y = 29 →

Answer key

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

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