← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 814 · 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. 1.9x + 2y = −14 and 2x + 9y = 14 →
  2. 2.x + y = 6 and 2x + 6y = 16 →
  3. 3.9x + 6y = 78 and 6x + 9y = 57 →
  4. 4.2x − 4y = −18 and 4x + 2y = 44 →
  5. 5.x + 8y = 48 and 8x + y = 69 →
  6. 6.4x + 5y = 17 and 2x − 3y = −19 →
  7. 7.3x + 9y = 42 and 9x + 3y = −42 →
  8. 8.2x − 2y = −16 and 3x − 2y = −17 →
  9. 9.3x + 6y = 27 and 5x + 6y = 37 →
  10. 10.x − 3y = −12 and x + 5y = 36 →
  11. 11.6x + 3y = −12 and 3x + 6y = −33 →
  12. 12.3x + 8y = −37 and 8x + 3y = 48 →
  13. 13.2x − 4y = −26 and 4x + 4y = 56 →
  14. 14.6x + 7y = 20 and 7x + 6y = 19 →
  15. 15.5x + 2y = 34 and x − 3y = 0 →
  16. 16.3x + 2y = 25 and 4x + 3y = 33 →
  17. 17.4x + 5y = 73 and 6x + 2y = 60 →
  18. 18.5x − 2y = 43 and 6x − 2y = 50 →
  19. 19.3x + 5y = −17 and 2x + 4y = −10 →
  20. 20.6x − 5y = 83 and 4x + 2y = 18 →
  21. 21.3x − 6y = −9 and 5x − 4y = −21 →
  22. 22.5x + 3y = 32 and x + 3y = 16 →
  23. 23.8x + 7y = −12 and 7x + 8y = −18 →
  24. 24.x + y = 1 and x + 3y = −3 →
  25. 25.2x + 8y = 42 and 8x + 2y = −12 →
  26. 26.5x + y = 47 and 6x + 2y = 58 →
  27. 27.2x + 3y = 17 and 2x + 6y = 20 →
  28. 28.3x + 5y = 10 and x + 6y = −1 →
  29. 29.x + 5y = 42 and 5x + y = 42 →
  30. 30.6x + 3y = −30 and 5x + 3y = −26 →
  31. 31.6x + y = 32 and x + 6y = −18 →
  32. 32.x + 5y = −43 and 5x + y = −47 →
  33. 33.3x + 2y = 3 and 2x + 3y = −3 →
  34. 34.x − 3y = −14 and 4x + 3y = 19 →
  35. 35.6x − 6y = 60 and 6x − y = 45 →
  36. 36.3x + 9y = −30 and 9x + 3y = 54 →
  37. 37.x − 6y = 3 and x + 2y = 11 →
  38. 38.2x + 4y = 14 and 2x − 2y = −16 →
  39. 39.3x − 6y = −33 and x + 3y = 24 →
  40. 40.6x − 2y = 38 and 4x + 6y = 18 →

Answer key

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

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