Class 10 Maths – RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.3 Solutions (Step-by-Step Guide)

RD Sharma Chapter 3: Pairs of Linear Equations in Two Variables Exercise 3.3 Solutions

  1. Solve the following systems of equations: 11x+15y+23=0, 7x-2y-20=0  Watch Solution
  2. Solve the following systems of equations: 3x-7y+10=0, y-2x-3=0 Watch Solution
  3. Solve the following systems of equations: 0.4x+0.3y=1.7, 0.7x-0.2y=0.8 Watch Solution
  4. Solve the following systems of equations: x/2 +y=0.8, 7/(x + y/2) =10 Watch Solution
  5. Solve the following systems of equations: 7(y+3)-2(x+2)=14, 4(y-2)+3(x-3)=2 Watch Solution
  6. Solve the following systems of equations:​ x/7 + y/3 = 5, x/2 – y/9 = 6 Watch Solution
  7. Solve the following systems of equations:​ x/3 + y/4 = 11, 5x/6 – y/3 = -7 Watch Solution
  8. Solve the following systems of equations:​4/x + 3y = 8, 6/x – 4y = -5 Watch Solution
  9. Solve the following systems of equations: x + y/2 = 4, x/3 + 2y = 5 Watch Solution
  10. Solve the following systems of equations: x + 2y = 3/2, 2x + y = 3/2 Watch Solution
  11. Solve the following systems of equations: √2x – √3y = 0, √3x – √8y = 0 Watch Solution
  12. Solve the following systems of equations: 3x- (y+7)/11 +2=10, 2y + (x+11)/7 =10 Watch Solution
  13. Solve the following systems of equations: 2x – 3/y = 9, 3x + 7/y = 2, y≠0 ​ Watch Solution
  14. Solve the following systems of equations : 0.5 x+0.7 y=0.74 , 0.3 x+0.5 y=0.5 Watch Solution
  15. Solve the following systems of equations : 1/7x + 1/6y = 3, 1/2x – 1/3y = 5 Watch Solution
  16. Solve the following systems of equations:1/2x + 1/3y = 2, 1/3x + 1/2y = 13/6 Watch Solution
  17. Solve the following systems of equations: 15/u + 2/v = 17 , 1/u + 1/v = 36/5 Watch Solution
  18. Solve the following systems of equations: 3/x – 1/y = -9, 2/x + 3/y = 5 Watch Solution
  19. Solve the following systems of equations: 2/x + 5/y = 1, 60/x + 40/y = 19 Watch Solution
  20. Solve the following systems of equations: 1/5x + 1/6y = 12, 1/3x – 3/7y = 8 Watch Solution
  21. Solve the following systems of equations: 4/x + 3y = 14, 3/x – 4y = 23 Watch Solution
  22. Solve the following systems of equations: 4/x + 5y = 7, 3/x + 4y = 5 Watch Solution
  23. Solve the following systems of equations: 2/x + 3/y = 13, 5/x – 4/y = -2 Watch Solution
  24. Solve the following systems of equations: 2/√x – 3/√y =2, 4/√x – 9/√y =-1 Watch Solution
  25. Solve the following systems of equations: (x + y)/xy = 2, (x – y)/xy = 6 Watch Solution
  26. Solve the following systems of equations: 2/x +3/y =9/xy, 4/x +9/y = 21/xy ,where, x≠0, y≠0  Watch Solution
  27. Solve the following systems of equations: 6/(x+y) = 7/(x-y) +3, 1/2(x+y) = 1/ 3(x-y) , where,x+y≠0 and x-y≠0 Watch Solution
  28. Solve the following systems of equations: xy/(x+y) = 6/5, xy/(y-x) = 6 where, x+y≠0 and x-y≠0 Watch Solution
  29. Solve the following systems of equations : 22/(x+y) +15/(x-y) = 5, 55/(x+y) + 45/(x-y) = 14 Watch Solution
  30. Solve the following systems of equations : 5/(x+y) – 2/(x-y) = -1, 15/(x+y) +7/(x-y) = 10 Watch Solution
  31. Solve the following systems of equations : 3/(x+y) +2/(x-y) = 2, 9/(x+y) – 4/(x-y) = 1 Watch Solution
  32. Solve the following systems of equations : 1/2(x+2y) + 5/3(3x-2y) = -3/2, 5/4(x+2y) – 3/5(3x-2y) = 61/60 Watch Solution
  33. Solve the following systems of equations: 5/(x+1) – 2/(y-1) = 1/2, 10/(x+1) + 2/(y-1) = 5/2 where, x≠-1, y≠1 Watch Solution
  34. Solve the following systems of equations : ​x + y = 5xy, x + 2y =13xy,​ x ≠ 0, y ≠ 0​ Watch Solution
  35. Solve the following systems of equations : ​x + y = 2xy, (x – y)/xy = 6, x ≠ 0, y ≠ 0 Watch Solution
  36. Solve the following systems of equations : 2(3u – v)=5uv, 2(u + 3 v) = 5uv Watch Solution
  37. Solve the following systems of equations : 2/(3x+2y) + 3/(3x-2y) = 17/5, 5/(3x+2y) +1/(3x-2y) = 2 Watch Solution
  38. Solve the following systems of equations : 44/(x+y) + 30/(x-y) = 10, 55/(x+y) + 40/(x-y) = 13 Watch Solution
  39. Solve the following systems of equations : 5/(x-1) + 1/(y-2) = 2, 6/(x-1) – 3/(y-2) = 1 Watch Solution
  40. Solve the following systems of equations : 10/(x+y) + 2/(x-y) = 4, 15/(x+y) – 9/(x-y) = -2 Watch Solution
  41. Solve the following systems of equations : 1/(3x+y) + 1/(3x-y) = 3/4, 1/2(3x+y) – 1/2(3x-y) = -1/8 Watch Solution
  42. Solve the following systems of equations : (7x-2y)/xy = 5, (8x+7y)/xy = 15 Watch Solution
  43. Solve the following systems of equations : 152x – 378y = -74, -378x + 158y = -604 Watch Solution
  44. Solve the following systems of equations : 99x + 101y = 499, 101x + 99y = 501 Watch Solution
  45. Solve the following systems of equations : 23x – 29y = 98, 29x – 23y = 110 Watch Solution
  46. Solve the following systems of equations : x – y + z = 4, x – 2y + 3z = 9, 2x + y + 3z = 1 Watch Solution
  47. Solve the following systems of equations : x – y + z = 4, x + y + z = 2, 2x + y – 3z = 0 Watch Solution
  48. Solve the following systems of equations : 21x + 47y = 110, 47x + 21y = 162 Watch Solution
  49. If x+1 is a factor of 2x^3 + ax​​​​​^2 + 2bx + 1, then find the value of a and b given that 2a – 3b = 4. Watch Solution
  50. Find the solution of the pair of equations x/10 + y/5 – 1= 0 and x/8 + y/6 = 15 hence find λ if y = λx + 5 Watch Solution
  51. Find the values of x and y in the following rectangle : 13, 7, x + 3y, 3x + y Watch Solution
  52. Write an equation of a line passing through the point representing the solution of the pair of linear equations x + y = 2 and 2x – y = 1. How many such lines can we find ? Watch Solution
  53. Write a pair of linear equations which has the unique solution x = -1 , y = 3 . How many such pairs can you write ? Watch Solution

 

Pair of Linear Equations in Two Variables – R.D. Sharma Class 10th Math

  1. Pair of Linear Equations in Two Variables Exercise 3.1 Video Solution

  2. Pair of Linear Equations in Two Variables Exercise 3.2 Video Solution

  3. Pair of Linear Equations in Two Variables Exercise 3.3 Video Solution

  4. Pair of Linear Equations in Two Variables Exercise 3.4 Video Solution

  5. Pair of Linear Equations in Two Variables Exercise 3.5 Video Solution

  6. Pair of Linear Equations in Two Variables Exercise 3.6 Video Solution

  7. Pair of Linear Equations in Two Variables Exercise 3.7 Video Solution

  8. Pair of Linear Equations in Two Variables Exercise 3.8 Video Solution

  9. Pair of Linear Equations in Two Variables Exercise 3.9 Video Solution

  10. Pair of Linear Equations in Two Variables Exercise 3.10 Video Solution

  11. Pair of Linear Equations in Two Variables Exercise 3.11 Video Solution

  12. Pair of Linear Equations in Two Variables Multiple Choice Questions (MCQs) Video Solution Video Solution

  13. Pair of Linear Equations in Two Variables Fill in the Blanks (FBQs) Video Solution

  14. Pair of Linear Equations in Two Variables Very Short Answer Questions (VSAQs) Video Solution Video Solution

 

 

 

 

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