← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 124 · 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. 1.6x + 2y = 30 and 5x − y = 17 →
  2. 2.2x + 8y = 34 and 8x + 2y = 46 →
  3. 3.x + 4y = 18 and 4x + y = 27 →
  4. 4.6x − 2y = −44 and 5x − y = −36 →
  5. 5.2x + 5y = −41 and 5x + 2y = −50 →
  6. 6.2x − y = −3 and 2x + 6y = −66 →
  7. 7.x + 6y = 4 and 6x + y = −46 →
  8. 8.6x − 6y = 30 and 5x − 6y = 28 →
  9. 9.8x + 7y = −5 and 7x + 8y = −10 →
  10. 10.x + 9y = −60 and 9x + y = −60 →
  11. 11.2x + 8y = 12 and 8x + 2y = 18 →
  12. 12.6x − 5y = 52 and x + 2y = −14 →
  13. 13.4x − y = 30 and 4x − 6y = 0 →
  14. 14.6x + y = −21 and x + 6y = 14 →
  15. 15.2x + y = 15 and 2x − 2y = 0 →
  16. 16.3x − 2y = −33 and 6x + 4y = −18 →
  17. 17.3x − 3y = −21 and x − 3y = −25 →
  18. 18.4x − 4y = 52 and 5x + y = 29 →
  19. 19.3x + 2y = 24 and 5x + y = 33 →
  20. 20.4x − 2y = −36 and x − 6y = −42 →
  21. 21.3x + 6y = 21 and 3x + 2y = 13 →
  22. 22.3x − 4y = 26 and 5x − 5y = 35 →
  23. 23.3x + y = 15 and 5x + 6y = 64 →
  24. 24.6x + y = 39 and 5x + 5y = −5 →
  25. 25.2x − y = 3 and 3x + y = 27 →
  26. 26.x + 4y = −7 and 6x − 2y = 10 →
  27. 27.4x + y = −1 and 3x + 2y = −12 →
  28. 28.3x + 5y = −41 and x − 6y = 40 →
  29. 29.5x + 2y = 47 and 3x + 5y = 51 →
  30. 30.8x + 5y = 88 and 5x + 8y = 94 →
  31. 31.2x + 3y = 8 and 3x + 2y = 7 →
  32. 32.x + 2y = −9 and x − 3y = 21 →
  33. 33.3x + 2y = 7 and 6x + 6y = 18 →
  34. 34.2x + 6y = −42 and 6x + 2y = 18 →
  35. 35.2x − y = −10 and 2x − 5y = 14 →
  36. 36.2x + 4y = −20 and 5x + y = 4 →
  37. 37.6x + 9y = 63 and 9x + 6y = 27 →
  38. 38.x + 5y = 1 and 5x − 6y = 36 →
  39. 39.2x + 5y = 26 and 5x + 2y = 44 →
  40. 40.5x + 3y = 16 and 5x + 2y = 9 →

Answer key

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

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