← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 390 · 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. 1.7x + 4y = 84 and 4x + 7y = 81 →
  2. 2.2x + 4y = 28 and 2x + y = 19 →
  3. 3.3x + 2y = −39 and 5x + 6y = −81 →
  4. 4.2x + 4y = 16 and x + 3y = 11 →
  5. 5.2x + 2y = 24 and 2x + 3y = 32 →
  6. 6.x + y = 11 and 3x − 5y = 17 →
  7. 7.8x + 3y = 46 and 3x + 8y = 31 →
  8. 8.6x − 6y = 78 and 3x − 6y = 60 →
  9. 9.8x + 2y = 22 and 2x + 8y = 28 →
  10. 10.2x + 7y = 13 and 7x + 2y = −22 →
  11. 11.3x + y = 27 and 4x + 6y = 50 →
  12. 12.8x + 2y = 48 and 2x + 8y = −18 →
  13. 13.x + 5y = 22 and 5x + y = −10 →
  14. 14.6x − 5y = −15 and 6x − 2y = 12 →
  15. 15.x + 6y = −23 and x + y = −3 →
  16. 16.2x + 9y = 1 and 9x + 2y = −34 →
  17. 17.2x + y = 10 and x + 2y = 14 →
  18. 18.5x − 3y = 62 and 4x + 5y = −17 →
  19. 19.x + 4y = −43 and x − 5y = 38 →
  20. 20.x − 2y = −2 and x + 5y = 26 →
  21. 21.2x − 5y = −31 and 3x + y = 30 →
  22. 22.3x + 5y = 7 and 5x − 2y = 22 →
  23. 23.2x + 5y = 27 and 2x + y = 15 →
  24. 24.2x + y = −5 and 2x − y = −7 →
  25. 25.7x + 5y = 37 and 5x + 7y = 47 →
  26. 26.9x + 3y = −60 and 3x + 9y = −84 →
  27. 27.2x + 5y = −33 and 5x − 6y = 47 →
  28. 28.x + 5y = −2 and 6x + 2y = 16 →
  29. 29.2x + 6y = 40 and 5x + 6y = 28 →
  30. 30.3x + 5y = 47 and 6x + y = 31 →
  31. 31.x − y = 5 and 3x − 6y = 3 →
  32. 32.x + 8y = 17 and 8x + y = 10 →
  33. 33.x + 6y = 14 and 2x + 3y = 1 →
  34. 34.5x + 2y = 4 and 6x − 3y = 21 →
  35. 35.4x + 3y = 24 and x + 2y = 1 →
  36. 36.7x + 6y = −75 and 6x + 7y = −68 →
  37. 37.3x + y = 17 and 6x + 3y = 30 →
  38. 38.3x − 5y = −67 and 4x + 2y = −20 →
  39. 39.x + 3y = 24 and 3x − 5y = −12 →
  40. 40.6x − 5y = −23 and x + 2y = 16 →

Answer key

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

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