← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 959 · 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 + 6y = 21 and 5x + 2y = 37 →
  2. 2.6x − 5y = 8 and 5x + 3y = −22 →
  3. 3.2x + 7y = 39 and 7x + 2y = 69 →
  4. 4.6x + 2y = −48 and 4x − 3y = −19 →
  5. 5.2x + 2y = 4 and x + 3y = −4 →
  6. 6.x − y = −5 and x + 6y = 58 →
  7. 7.3x − 3y = −3 and 4x + 5y = 14 →
  8. 8.5x + 4y = 4 and 3x − y = −18 →
  9. 9.x + 3y = 25 and x − 2y = −20 →
  10. 10.2x + 3y = 30 and x + 6y = 51 →
  11. 11.5x + 2y = 12 and 2x + 5y = 9 →
  12. 12.5x + y = 14 and 4x − y = −5 →
  13. 13.4x − 3y = −52 and 5x + y = −27 →
  14. 14.3x + 4y = 26 and 2x + 4y = 20 →
  15. 15.2x + 3y = 16 and x − 3y = −1 →
  16. 16.3x − y = −18 and 4x − 3y = −14 →
  17. 17.3x + 7y = −32 and 7x + 3y = −48 →
  18. 18.5x + y = −17 and x + 5y = 11 →
  19. 19.6x + 4y = −10 and 4x + 6y = 0 →
  20. 20.x + 9y = −22 and 9x + y = 42 →
  21. 21.3x − 2y = 16 and 4x − 4y = 24 →
  22. 22.4x + 8y = −28 and 8x + 4y = −8 →
  23. 23.2x + 2y = 18 and 6x − 2y = 6 →
  24. 24.6x + y = 28 and 4x + 6y = 40 →
  25. 25.5x + y = 13 and x + 5y = 17 →
  26. 26.8x + y = −13 and x + 8y = 22 →
  27. 27.4x + 4y = 20 and x + 6y = 15 →
  28. 28.6x + 5y = −52 and 5x + 6y = −58 →
  29. 29.6x − 5y = 74 and x + 2y = 1 →
  30. 30.3x + y = 21 and x + 3y = 15 →
  31. 31.7x + 2y = 15 and 2x + 7y = 30 →
  32. 32.5x + 4y = −73 and x + y = −16 →
  33. 33.4x + 2y = 40 and 2x + 4y = 26 →
  34. 34.4x + y = −25 and 4x − 5y = −19 →
  35. 35.6x − 4y = −6 and 5x + 6y = 51 →
  36. 36.2x + 9y = 23 and 9x + 2y = 65 →
  37. 37.8x + 3y = 37 and 3x + 8y = 62 →
  38. 38.3x + 6y = 42 and 6x + 3y = 39 →
  39. 39.6x + 5y = 11 and x − 4y = −3 →
  40. 40.5x + 3y = 55 and 2x + 3y = 31 →

Answer key

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

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