← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 446 · 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 + 7y = 61 and 7x + 2y = 56 →
  2. 2.7x + y = 64 and x + 7y = 64 →
  3. 3.4x + 2y = −22 and 2x + 4y = −2 →
  4. 4.x − y = 5 and 6x + 3y = 21 →
  5. 5.2x − 4y = −20 and 2x − 5y = −21 →
  6. 6.2x + 3y = −23 and 3x + 2y = −27 →
  7. 7.x + 3y = 2 and 3x + y = −18 →
  8. 8.4x + y = 25 and 2x − 4y = 8 →
  9. 9.5x + y = −39 and x + 4y = −42 →
  10. 10.6x + 2y = 0 and 3x + 5y = −12 →
  11. 11.x + 3y = −17 and 3x + y = 13 →
  12. 12.4x + 5y = −12 and 4x − 4y = 24 →
  13. 13.9x + 7y = 18 and 7x + 9y = −18 →
  14. 14.x + 5y = 9 and 5x + y = 21 →
  15. 15.5x − 4y = −10 and 2x − y = −7 →
  16. 16.x + 6y = 9 and 6x + y = −51 →
  17. 17.4x + 5y = 2 and 5x + 4y = −2 →
  18. 18.6x + 8y = 20 and 8x + 6y = 8 →
  19. 19.5x + y = −1 and 6x + y = 0 →
  20. 20.x − 2y = 21 and 4x − 5y = 60 →
  21. 21.3x − 3y = −48 and x − 3y = −34 →
  22. 22.6x + y = −12 and x + 6y = 33 →
  23. 23.x + 8y = 17 and 8x + y = 10 →
  24. 24.6x − 5y = 76 and x + y = −2 →
  25. 25.9x + 2y = 29 and 2x + 9y = 15 →
  26. 26.4x + 6y = 62 and 2x + 2y = 22 →
  27. 27.4x + 3y = 1 and 3x + y = 2 →
  28. 28.5x + 6y = −27 and 6x + 5y = −17 →
  29. 29.9x + 3y = 18 and 3x + 9y = −18 →
  30. 30.3x − 6y = −30 and 4x + 5y = 51 →
  31. 31.2x − y = −18 and 4x + 6y = 28 →
  32. 32.5x + 2y = 16 and 3x + 5y = −17 →
  33. 33.x + 3y = −14 and 3x + y = −26 →
  34. 34.2x + 6y = −14 and 4x − 2y = 28 →
  35. 35.2x + 4y = −14 and 6x − 6y = −24 →
  36. 36.2x + 5y = 8 and x + 4y = 10 →
  37. 37.3x − 4y = −5 and 3x + 2y = 25 →
  38. 38.5x + 3y = 18 and 6x + 6y = 0 →
  39. 39.2x − y = 3 and 3x + y = −13 →
  40. 40.4x − 3y = −36 and 5x + 6y = 33 →

Answer key

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

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