← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 52 · 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 + 8y = −50 and 8x + 2y = 40 →
  2. 2.4x + 5y = 21 and 2x − 2y = −12 →
  3. 3.x − 4y = −14 and 6x − 5y = −8 →
  4. 4.9x + y = 9 and x + 9y = −79 →
  5. 5.4x + y = 9 and x + 5y = 26 →
  6. 6.7x + 3y = 32 and 3x + 7y = 8 →
  7. 7.3x + 3y = 18 and 5x + 2y = 3 →
  8. 8.6x + y = 13 and 6x + 4y = −2 →
  9. 9.9x + 8y = −38 and 8x + 9y = −47 →
  10. 10.x + 9y = 26 and 9x + y = 74 →
  11. 11.x + 3y = 0 and 4x + y = −33 →
  12. 12.2x + 6y = 30 and 6x + 2y = 26 →
  13. 13.6x + 3y = 24 and 3x + 6y = 30 →
  14. 14.4x + 9y = −11 and 9x + 4y = −41 →
  15. 15.5x − 3y = −38 and 3x + 5y = −16 →
  16. 16.7x + y = 22 and x + 7y = 10 →
  17. 17.9x + y = 83 and x + 9y = 27 →
  18. 18.8x + 5y = 46 and 5x + 8y = 58 →
  19. 19.x + 2y = −21 and 2x + y = −15 →
  20. 20.8x + 7y = −10 and 7x + 8y = −5 →
  21. 21.5x + y = 16 and x + 5y = 32 →
  22. 22.x − y = −8 and 3x + 2y = 11 →
  23. 23.4x − 2y = −4 and 5x + y = 9 →
  24. 24.6x + 7y = −28 and 7x + 6y = −37 →
  25. 25.5x − y = 35 and 2x − y = 11 →
  26. 26.4x + 6y = 34 and 3x + 3y = 15 →
  27. 27.6x + 6y = 0 and 2x − 6y = −32 →
  28. 28.4x + y = −29 and 2x − 4y = −46 →
  29. 29.4x − y = −13 and x + 4y = −33 →
  30. 30.2x + 5y = −36 and 5x + 2y = −27 →
  31. 31.5x + 2y = 17 and 2x + 5y = 32 →
  32. 32.6x + 2y = −28 and 5x + 6y = −32 →
  33. 33.6x + 9y = −27 and 9x + 6y = −63 →
  34. 34.5x + 3y = 4 and x + y = −2 →
  35. 35.8x + y = 74 and x + 8y = 25 →
  36. 36.2x − 6y = −16 and x − 6y = −11 →
  37. 37.6x + 2y = −48 and 3x + 2y = −21 →
  38. 38.3x − 4y = 59 and 4x + 4y = 4 →
  39. 39.3x − 2y = 26 and x − y = 11 →
  40. 40.x + 5y = 17 and 5x − 4y = −2 →

Answer key

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

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