← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 63 · 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 = −44 and 4x − 4y = −40 →
  2. 2.4x + 9y = 104 and 9x + 4y = 104 →
  3. 3.4x + 6y = 42 and x − 2y = 7 →
  4. 4.6x + 6y = −78 and x + 2y = −19 →
  5. 5.8x + 7y = −40 and 7x + 8y = −50 →
  6. 6.4x + y = 27 and x + 4y = 18 →
  7. 7.4x − 3y = −1 and 3x + 3y = −48 →
  8. 8.8x + 2y = 24 and 2x + 8y = 36 →
  9. 9.3x + 7y = 12 and 7x + 3y = −12 →
  10. 10.6x + y = −41 and x − y = −8 →
  11. 11.4x − y = 14 and x + 5y = 35 →
  12. 12.3x + 6y = −18 and 3x + 5y = −14 →
  13. 13.5x + 2y = −27 and 5x + 6y = −11 →
  14. 14.2x − 3y = 24 and 2x + 6y = −30 →
  15. 15.x + 2y = 6 and 4x − 5y = 11 →
  16. 16.x − y = −5 and x + y = 9 →
  17. 17.4x + 8y = −12 and 8x + 4y = −12 →
  18. 18.3x − y = 25 and 2x + 2y = 22 →
  19. 19.x + y = 14 and 6x − 6y = 12 →
  20. 20.2x − 3y = −14 and 2x + 5y = 34 →
  21. 21.3x + 4y = 25 and 4x + 3y = 17 →
  22. 22.6x + 2y = 44 and 2x + 6y = 20 →
  23. 23.8x + 2y = −16 and 2x + 8y = 56 →
  24. 24.4x + 7y = −31 and 7x + 4y = −46 →
  25. 25.5x + 4y = 28 and 4x + 4y = 24 →
  26. 26.9x + y = 73 and x + 9y = 17 →
  27. 27.3x + y = 16 and 2x + y = 13 →
  28. 28.x + 4y = 18 and 3x + 3y = 9 →
  29. 29.5x + y = 27 and x + 5y = −9 →
  30. 30.4x + 8y = 32 and 8x + 4y = 4 →
  31. 31.5x + 3y = 39 and 3x + 5y = 33 →
  32. 32.7x + 2y = −64 and 2x + 7y = −44 →
  33. 33.5x − 2y = −41 and 2x − y = −17 →
  34. 34.x + 6y = −35 and 6x + y = 0 →
  35. 35.4x − 6y = 42 and 5x − 6y = 51 →
  36. 36.4x + 3y = 19 and 3x + 4y = 23 →
  37. 37.4x − 2y = −2 and x − 2y = −5 →
  38. 38.4x + y = 9 and x + 4y = 6 →
  39. 39.6x + 5y = 38 and 4x + 2y = 28 →
  40. 40.2x + 7y = −68 and 7x + 2y = −58 →

Answer key

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

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