← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 501 · 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 + 4y = −14 and 4x + 5y = −13 →
  2. 2.7x + y = −21 and x + 7y = −51 →
  3. 3.3x + 3y = 30 and 5x − 6y = 6 →
  4. 4.4x − 6y = 8 and 4x + y = 36 →
  5. 5.2x − 6y = 56 and x + y = −8 →
  6. 6.2x + 3y = 33 and 3x + 2y = 37 →
  7. 7.6x + y = −10 and 3x − y = −17 →
  8. 8.3x + 3y = 3 and 3x − 4y = 38 →
  9. 9.2x + 6y = 28 and 6x + 2y = 20 →
  10. 10.4x + 9y = 52 and 9x + 4y = 52 →
  11. 11.2x − 4y = −26 and x + 3y = 32 →
  12. 12.x + 3y = −32 and 2x − 5y = 24 →
  13. 13.3x + 5y = 29 and 2x − 4y = −10 →
  14. 14.3x + 2y = 11 and 6x − 3y = 36 →
  15. 15.4x + 3y = 1 and 3x + 4y = 6 →
  16. 16.9x + y = 89 and x + 9y = 81 →
  17. 17.5x + 5y = 0 and x + 4y = −3 →
  18. 18.5x − y = 36 and 5x − 5y = 20 →
  19. 19.x + 3y = 3 and 4x − 3y = −18 →
  20. 20.6x + 8y = 42 and 8x + 6y = 42 →
  21. 21.3x − 3y = −21 and 5x + 5y = 55 →
  22. 22.4x + 2y = −36 and x + y = −12 →
  23. 23.2x + 9y = 63 and 9x + 2y = −63 →
  24. 24.x + 2y = −17 and 5x + y = −13 →
  25. 25.6x + 4y = 40 and 6x + y = 28 →
  26. 26.2x + 2y = −6 and 5x − 3y = 41 →
  27. 27.6x + 9y = −15 and 9x + 6y = 15 →
  28. 28.3x + 6y = −3 and 6x + 3y = 21 →
  29. 29.5x − 6y = 29 and 2x + 3y = 17 →
  30. 30.x + 4y = −2 and 3x + 5y = 8 →
  31. 31.6x + 6y = −12 and 2x − 5y = 52 →
  32. 32.3x + 6y = −3 and 2x + 3y = −3 →
  33. 33.6x + 4y = 14 and 4x + 6y = 36 →
  34. 34.4x + y = −16 and x + 4y = 26 →
  35. 35.8x + 9y = 70 and 9x + 8y = 66 →
  36. 36.6x + 4y = −14 and 5x − 3y = −56 →
  37. 37.4x − 6y = 2 and 2x + 4y = 8 →
  38. 38.x + 2y = −23 and x + 6y = −55 →
  39. 39.6x − y = −4 and 3x − 5y = 34 →
  40. 40.9x + 6y = −33 and 6x + 9y = −27 →

Answer key

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

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