← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 568 · 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 − 3y = 9 and 2x + 6y = 12 →
  2. 2.5x + 5y = 5 and 2x + 3y = 5 →
  3. 3.x + 5y = 39 and 5x + y = 51 →
  4. 4.6x + 4y = −18 and 4x + 6y = 8 →
  5. 5.2x − 5y = −30 and 2x − y = −14 →
  6. 6.9x + 4y = 44 and 4x + 9y = 34 →
  7. 7.2x + y = −7 and x + 2y = −2 →
  8. 8.5x + y = −23 and x − 2y = −9 →
  9. 9.6x + 3y = 51 and 6x − 2y = 6 →
  10. 10.5x − y = −28 and 4x − 5y = −14 →
  11. 11.3x + 2y = −15 and 2x + 3y = −5 →
  12. 12.6x + 7y = −13 and 7x + 6y = 0 →
  13. 13.5x + y = −28 and 3x + 5y = −8 →
  14. 14.6x − 3y = 39 and 5x − 2y = 28 →
  15. 15.6x − y = −55 and x + 5y = 27 →
  16. 16.3x + 4y = 43 and 5x + 5y = 65 →
  17. 17.7x + 5y = 30 and 5x + 7y = 18 →
  18. 18.3x − 3y = 21 and 6x + 6y = 18 →
  19. 19.5x − y = −23 and 5x + 4y = −58 →
  20. 20.4x + 5y = 27 and 5x − y = −17 →
  21. 21.6x + 2y = −32 and 3x + 6y = −6 →
  22. 22.3x − y = −13 and x + 5y = 1 →
  23. 23.x − 3y = −13 and 6x + 2y = −38 →
  24. 24.4x + 2y = 6 and x + 2y = 0 →
  25. 25.2x + y = 22 and x + 2y = 20 →
  26. 26.6x − 3y = 39 and 2x + 2y = −8 →
  27. 27.3x − 4y = −37 and 5x + 4y = −19 →
  28. 28.3x − y = 23 and 4x + 3y = 35 →
  29. 29.6x + y = −36 and x + 6y = −41 →
  30. 30.5x + y = 22 and 4x + 6y = 2 →
  31. 31.4x + 6y = −18 and 3x − y = −30 →
  32. 32.x + y = 3 and 3x + 6y = 6 →
  33. 33.6x + 3y = −15 and x + 4y = −34 →
  34. 34.4x − y = 24 and 4x + 4y = 44 →
  35. 35.4x + 3y = −5 and 5x + 4y = −8 →
  36. 36.3x − 3y = 36 and 6x + y = 51 →
  37. 37.2x − 6y = 24 and 3x + 2y = −19 →
  38. 38.x − y = 2 and 6x − 4y = 2 →
  39. 39.6x − 3y = −27 and 6x − 2y = −28 →
  40. 40.x − 6y = −56 and 3x + 3y = 0 →

Answer key

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

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