← Simultaneous equations lesson New set →

Simultaneous Equations Worksheet

Vedic maths trick 34: Simultaneous equations · Set 980 · 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 + 6y = 14 and 6x + 2y = −38 →
  2. 2.2x − 3y = −2 and 6x + 2y = 16 →
  3. 3.4x + 5y = −14 and 4x − 2y = 28 →
  4. 4.3x + 2y = 1 and 3x − y = −5 →
  5. 5.x + 3y = 14 and 3x + y = 10 →
  6. 6.5x − y = 2 and 3x + 4y = 15 →
  7. 7.x + 7y = 50 and 7x + y = −34 →
  8. 8.2x + 4y = −4 and 4x + 2y = 4 →
  9. 9.4x − 5y = −26 and 5x + 4y = −53 →
  10. 10.5x + 8y = 6 and 8x + 5y = 33 →
  11. 11.3x + 6y = −72 and x + 6y = −60 →
  12. 12.x + 2y = −6 and 4x − 3y = −35 →
  13. 13.4x + 2y = 22 and 6x − 4y = −30 →
  14. 14.3x + 4y = 37 and 6x − 2y = 4 →
  15. 15.6x + 2y = 60 and 2x + 6y = 68 →
  16. 16.x − y = −3 and 4x + 3y = 51 →
  17. 17.x − 4y = −2 and 3x − 2y = 14 →
  18. 18.4x + y = 25 and x + 4y = 25 →
  19. 19.4x + 3y = 32 and 6x − 5y = −28 →
  20. 20.4x + y = 19 and 3x + y = 14 →
  21. 21.x + 8y = 63 and 8x + y = 63 →
  22. 22.6x + y = 20 and 2x + 2y = 10 →
  23. 23.8x + y = 35 and x + 8y = 28 →
  24. 24.6x + 2y = 48 and 6x − 5y = 27 →
  25. 25.x + 3y = −17 and 6x − 5y = 36 →
  26. 26.5x + y = −12 and x + 5y = −36 →
  27. 27.8x + 4y = −24 and 4x + 8y = −60 →
  28. 28.4x − 3y = −8 and 2x + y = −24 →
  29. 29.4x − 4y = −4 and 3x + 5y = 29 →
  30. 30.x + 3y = 13 and 3x + y = 7 →
  31. 31.5x + 2y = 49 and 3x + 3y = 42 →
  32. 32.5x + 6y = −23 and x − 2y = −11 →
  33. 33.x + 5y = −41 and 5x + y = 11 →
  34. 34.5x + 2y = 42 and 2x + 5y = 42 →
  35. 35.3x + 6y = −33 and 6x − y = −53 →
  36. 36.2x + y = 8 and 2x + 5y = 32 →
  37. 37.6x − 4y = 0 and x + y = 5 →
  38. 38.9x + 5y = 88 and 5x + 9y = 80 →
  39. 39.5x + 2y = 28 and 3x + 4y = 28 →
  40. 40.8x + 2y = 80 and 2x + 8y = 80 →

Answer key

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

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