← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 994 · 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. 1.3x − 3y = 33 and 4x + y = −1 →
  2. 2.2x − y = −1 and 3x + 6y = 21 →
  3. 3.5x − 5y = 35 and 5x + 6y = −20 →
  4. 4.2x + 4y = 24 and x − 6y = −52 →
  5. 5.4x + 7y = 2 and 7x + 4y = 20 →
  6. 6.x + 7y = −2 and 7x + y = −62 →
  7. 7.8x + 2y = 78 and 2x + 8y = 72 →
  8. 8.3x − 2y = −24 and x + 2y = 8 →
  9. 9.9x + 2y = 80 and 2x + 9y = 52 →
  10. 10.x + 3y = −23 and 6x + y = −36 →
  11. 11.3x − y = −16 and 6x + y = −11 →
  12. 12.4x + 6y = −16 and 6x + 4y = 6 →
  13. 13.3x + 9y = 9 and 9x + 3y = −21 →
  14. 14.4x − 3y = −51 and 4x + y = −31 →
  15. 15.2x − 4y = 2 and 4x − 3y = 19 →
  16. 16.3x + 2y = 12 and 6x + 5y = 21 →
  17. 17.9x + y = 70 and x + 9y = 70 →
  18. 18.7x + y = 29 and x + 7y = 11 →
  19. 19.x − 2y = −13 and 2x − 3y = −17 →
  20. 20.2x + 5y = −18 and 5x + 2y = −3 →
  21. 21.5x + 2y = 6 and 2x + 5y = −6 →
  22. 22.2x + 5y = 35 and 5x + 2y = 35 →
  23. 23.8x + 3y = 9 and 3x + 8y = −31 →
  24. 24.2x + 4y = −12 and x − 3y = 14 →
  25. 25.5x + 3y = −1 and 4x + 4y = −4 →
  26. 26.x − 5y = −43 and 2x + 4y = 40 →
  27. 27.2x − 4y = 22 and 6x + 4y = 18 →
  28. 28.2x − 2y = −8 and 4x − 3y = −15 →
  29. 29.6x + 5y = 69 and 2x − y = 15 →
  30. 30.2x − 6y = −18 and 6x − 2y = −38 →
  31. 31.5x + 2y = 32 and 2x + 2y = 8 →
  32. 32.3x − y = 12 and 2x + 5y = 25 →
  33. 33.3x + 2y = 32 and 3x − 3y = −3 →
  34. 34.7x + 6y = −22 and 6x + 7y = −30 →
  35. 35.x − 2y = −15 and 4x − y = −39 →
  36. 36.x + y = 12 and 5x + 2y = 45 →
  37. 37.3x + 5y = −13 and 5x + 3y = 21 →
  38. 38.2x + 5y = 1 and 3x + y = −5 →
  39. 39.x + 3y = −23 and 6x − 3y = 51 →
  40. 40.5x − 4y = −37 and x + 4y = 7 →

Answer key

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

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