Are you looking for the best Maths NCERT Solutions Chapter 3 Ex 3.2 Class 10? Then, grab them from our page and ace up your preparation for CBSE Class 10 Exams.

These Solutions are part of RS Aggarwal Solutions Class 10. Here we have given RS Aggarwal Solutions Class 10 Chapter 3 Linear equations in two variables Ex 3B. You must go through NCERT Solutions for Class 10 Maths to get better score in CBSE Board exams along with RS Aggarwal Class 10 Solutions.

RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B

Solve for x and y:
Question 1.
Solution:
x + y = 3 …..(i)
4x – 3y = 26 …(ii)
From (i), x = 3 – y
Substituting the value of x in (ii),
4(3 – y) – 3y = 26
=> 12 – 4y – 3y = 26
-7y = 26 – 12 = 14
y = -2
x = 3 – y = 3 – (-2) = 3 + 2 = 5
Hence, x = 5, y = -2

Question 2.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 1

Question 3.
Solution:
2x + 3y= 0 ……..(i)
3x + 4y = 5 …….(ii)
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 2

Question 4.
Solution:
2x – 3y = 13 ……(i)
7x – 2y = 20 ……….(ii)
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 3

Question 5.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 4
=> x = -2, y = -5

Question 6.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 5

Question 7.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 6

Question 8.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 7

Question 9.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 8
Hence, x = \(\frac { 3 }{ 2 }\) , y = \(\frac { -2 }{ 3 }\)

Question 10.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 9

Question 11.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 10
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 11

Question 12.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 12

Question 13.
Solution:
0.4x + 0.3y = 1.7
0.7x – 0.2y = 0.8
Multiplying each term by 10
4x + 3y = 17
0.7x – 2y = 8
Multiply (i) by 2 and (ii) by 3,
8x + 6y = 34
21x – 6y = 24
Adding, we get
29x = 58
x = 2
From (i) 4 x 2 + 3y = 17
=> 8 + 3y = 17
=> 3y = 17 – 8 = 9
y = 3
x = 2, y = 3

Question 14.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 13

Question 15.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 14
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 15

Question 16.
Solution:
6x + 5y = 7x + 3y + 1 = 2(x + 6y – 1)
6x + 5y = 7x + 3y + 1
=> 6x + 5y – 7x – 3y = 1
=> -x + 2y = 1
=> 2y – x = 1 …(i)
7x + 3y + 1 = 2(x + 6y – 1)
7x + 3y + 1 = 2x + 12y – 2
=> 7x + 3y – 2x – 12y = -2 – 1
=> 5x – 9y = -3 …..(ii)
From (i), x = 2y – 1
Substituting the value of x in (ii),
5(2y – 1) – 9y = -3
=> 10y – 5 – 9y = -3
=> y = -3 + 5
=> y = +2
x = 2y – 1 = 2 x 2 – 1 = 4 – 1 = 3
x = 3, y = 2

Question 17.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 16
and x = y – 4 = 6 – 4 = 2
x = 2, y = 6

Question 18.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 17

Question 19.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 18
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 19

Question 20.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 20
x = 3, y = -1

Question 21.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 21
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 22

Question 22.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 23
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 24

Question 23.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 25
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 26

Question 24.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 27
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 28

Question 25.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 29
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 30

Question 26.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 31
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 32

Question 27.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 33
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 34
x = 3, y = 2

Question 28.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 35
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 36

Question 29.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 37
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 38

Question 30.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 39
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 40

Question 31.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 41
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 42
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 43

Question 32.
Solution:
71x + 37y = 253
37x + 71y = 287
Adding, we get
108x + 108y = 540
x + y = 5 ………(i) (Dividing by 108)
and subtracting,
34x – 34y = -34
x – y = -1 ……..(ii) (Dividing by 34)
Adding, (i) and (ii)
2x = 4 => x = 2
and subtracting,
2y = 6 => y = 3
Hence, x = 2, y = 3

Question 33.
Solution:
217x + 131y = 913 …(i)
131x + 217y = 827 …..(ii)
Adding, we get
348x + 348y = 1740
x + 7 = 5 …..(iii) (Dividing by 348)
and subtracting,
86x – 86y = 86
x – y = 1 …(iv) (Dividing by 86)
Now, adding (iii) and (iv)
2x = 6 => x = 3
and subtracting,
2y = 4 => y = 2
x = 3, y = 2

Question 34.
Solution:
23x – 29y = 98 ……(i)
29x – 23y = 110 ……(ii)
Adding, we get
52x – 52y = 208
x – y = 4 ……(iii) (Dividing by 52)
and subtracting
-6x – 6y = -12
x + y = 2 …..(iv)
Adding (iii), (iv)
2x = 6 => x = 3
Subtracting (iii) from (iv)
2y = -2 => y = -1
x = 3, y = -1

Question 35.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 44
x = 1 and y = 2

Question 36.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 45
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 46

Question 37.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 47
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 48
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 49

Question 38.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 50
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 51

Question 39.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 52
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 53

Question 40.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 54

Question 41.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 55
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 56

Question 42.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 57

Question 43.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 58
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 59

Question 44.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 60
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 61
a = \(\frac { 1 }{ 2 }\) , b = \(\frac { 1 }{ 3 }\)

Question 45.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 62

Question 46.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 63

Question 47.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 64

Question 48.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 65

Question 49.
Solution:
a²x + b²y = c² ……(i)
b²x + a²y = d² …….(ii)
Multiply (i) by a² and (ii) by b²,
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 66
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 67

Question 50.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 68
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 69
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3B 70

Hope given RS Aggarwal Solutions Class 10 Chapter 3 Linear equations in two variables Ex 3B are helpful to complete your math homework.

If you have any doubts, please comment below. Learn Insta try to provide online math tutoring for you.