← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 433 · 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. 1.2x + 3y = −21 and 3x + y = 0 →
  2. 2.3x + 5y = −34 and 5x + 3y = −30 →
  3. 3.8x + 6y = 40 and 6x + 8y = 44 →
  4. 4.2x + 5y = 31 and 2x − 4y = −32 →
  5. 5.4x + 8y = −12 and 8x + 4y = 0 →
  6. 6.6x − y = 27 and 6x + y = 33 →
  7. 7.3x − 5y = 16 and x + 4y = 11 →
  8. 8.2x + 5y = 42 and 2x + 3y = 26 →
  9. 9.x + 3y = 4 and 6x − 6y = 0 →
  10. 10.6x + y = 32 and 3x + 2y = 28 →
  11. 11.x + 8y = 22 and 8x + y = −13 →
  12. 12.6x + 2y = 22 and 6x + 6y = 6 →
  13. 13.x + y = 4 and x − 2y = −5 →
  14. 14.2x − 6y = −20 and x + 3y = 14 →
  15. 15.8x + 4y = 12 and 4x + 8y = 0 →
  16. 16.7x + 2y = 70 and 2x + 7y = 65 →
  17. 17.3x − 5y = −1 and 2x + 6y = 46 →
  18. 18.4x − 6y = 60 and 3x + 6y = 3 →
  19. 19.2x − 4y = −4 and 5x + 6y = 70 →
  20. 20.8x + 9y = −61 and 9x + 8y = −58 →
  21. 21.3x + y = 16 and 3x + 5y = 20 →
  22. 22.7x + y = 39 and x + 7y = 33 →
  23. 23.x + y = 1 and 6x + 4y = −12 →
  24. 24.2x + 4y = 42 and 5x − 3y = 27 →
  25. 25.3x + 9y = −9 and 9x + 3y = 21 →
  26. 26.3x + 5y = 22 and 2x + y = 17 →
  27. 27.2x + 5y = 31 and 3x − y = 21 →
  28. 28.9x + 8y = 80 and 8x + 9y = 73 →
  29. 29.5x + 4y = −2 and 6x + 5y = −3 →
  30. 30.8x + 7y = −44 and 7x + 8y = −31 →
  31. 31.8x + 2y = −62 and 2x + 8y = −8 →
  32. 32.4x + 3y = 33 and 3x + 4y = 23 →
  33. 33.3x + 2y = 30 and 2x + 3y = 25 →
  34. 34.x + 3y = 9 and 3x + y = −13 →
  35. 35.6x + 4y = −4 and 4x + 6y = 4 →
  36. 36.2x + y = 11 and 2x + 3y = 21 →
  37. 37.2x − 4y = 2 and 2x + 2y = −16 →
  38. 38.6x − y = 12 and 3x + 4y = −21 →
  39. 39.2x + 3y = 16 and 3x − 5y = −33 →
  40. 40.x + 7y = −34 and 7x + y = 2 →

Answer key

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

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