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

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 3D. 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 Solutions Class 10 Chapter 3

Show that each of the following systems of equations has a unique solution and solve it:
Question 1.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 1

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

Question 3.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 4
This system has a unique solution.
From (ii), x = 2 + 2y
Substituting the value of x in (i),
2(2 + 2y) + 3y = 18
=> 4 + 4y + 3y = 18
=> 7y = 18 – 4 = 14
=> y = 2
and x = 2 + 2 x 2 = 2 + 4 = 6
x = 6, y = 2

Find the value of k for which each of the following systems of equations has a unique solution:
Question 4.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 5

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

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

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

Question 8.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 9

Question 9.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 10
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 11

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

Question 11.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 13

Question 12.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 14

Question 13.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 15
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 16

Question 14.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 17

Find the value of k for which each of the following systems of linear equations has an infinite number of solutions:
Question 15.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 18

Question 16.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 19
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 20

Question 17.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 21

Question 18.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 22
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 23

Question 19.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 24
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 25

Question 20.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 26
=> k (k – 6) = 0
Either k = 0, which is not true, or k – 6 = 0, then k = 6
k = 6

Find the values of a and b for which each of the following systems of linear equations has an infinite number of solutions:
Question 21.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 27

Question 22.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 28
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 29

Question 23.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 30
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 31

Question 24.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 32
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 33

Question 25.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 34

Question 26.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 35

Find the value of k for which each of the following systems of equations has no solution:
Question 27.
Solution:
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 36

Question 28.
Solution:
kx + 3y = 3
12x + ky = 6
RS Aggarwal Class 10 Solutions Chapter 3 Linear equations in two variables Ex 3D 37

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

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

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

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

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