NCERT Class 8 Maths Chapter 2 Linear Equations in One Variable Exercise 2.6

Chapter 2 Linear Equations in One Variable Exercise 2.6

Solve the following equations.
Question 1: (8x - 3)/3x = 2
Answer:

= 8x - 3 = 2 × 3x
= 8x - 3 = 6x
= 8x - 6x = 3
= 2x = 3
= x = 3/2

Question 2: 9x/(7 - 6x) = 15
Answer:

= 9x/7 - 6x = 15/1
= 9x = 105 - 90x
= 99x = 105
= x = 105/99
= x = 35/33

Question 3: z/(z + 15) = 4/9
Answer:

= 9z = 4z + 60
= 9z - 4z = 60
= 5z = 60
= z = 60/5
= z = 12

Question 4: (3y + 4)/(2 - 6y) = -2/5
Answer:

= 15y + 20 = -4 - (12y)
= 15y - 12ty = -4 - 20
= 3y = -24
= y = -24/3
= y = -8

Question 5: (7y + 4)/(y + 2) = -4/3
Answer:

= -4(y + 2) = 3(7y + 4)
= -4y - 8 = 21y + 12
= -4y - 21y = 12 + 8
= -25y = 20
= y = 20/-25
= y = -4/5

Question 6: The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.
Answer:

Let the present age of Hari and Harry be 5x and 7x.
After 4 years, Hari’s age = (5x + 4) years
After 4 years, Harry’s age = (7x + 4) years
= 5x + 4/7x + 4
= 5x + 4/7x + 4 = 3/4
= 4(5x + 4) = 3(7x + 4)
= 20x + 16 = 21x + 12
= 20x - 21x = 12 - 16
= -1x = -4
= 1x = 4
= x = 4
Hari's age = 5x = 5 × 4 = 20
Harry's age = 7x = 7 × 4 = 28
Therefore, the present age of Hari is 20 years, while the present age of Harry is 28 years.

Question 7: The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number.
Answer:

Let the numerator be x, denominator be x + 8.
Given
= x + 17/x + 8 - 1 = 3/2
= x + 17/x + 7 = 3/2
= 2(x + 17) = 3(x + 7)
= 2x + 34 = 3x + 21
= 2x - 3x = 21 - 34
= -1x = -13
= 1x = 13
= x = 13
Rational number
= x/x + 8
= 13/13 + 8
= 13/21
Therefore, the rational number is 13/21.

1 comment:

Also read!

Click on any of the below text for additional links:

Class 6

Class 6 Computer Kips Solutions
Class 6 Gul Mohar English Solutions
→ Class 6 Map Pointing Solutions
Class 6 NCERT Civics Solutions
Class 6 NCERT Geography Solutions
Class 6 NCERT History Solutions
Class 6 NCERT Maths Solutions
Class 6 NCERT Science Solutions

Class 7

Class 7 Computer Kips Solutions
Class 7 Gul Mohar English Solutions
English Grammar Class 7
English Writing Skills Class 7
Class 7 Map Pointing Solutions
Class 7 NCERT Civics Solutions
Class 7 NCERT Civics Notes
Class 7 NCERT Civics Extra Questions
Class 7 NCERT Geography Solutions
Class 7 NCERT Geography Notes
Class 7 NCERT Geography Extra Questions
Class 7 NCERT History Solutions
Class 7 NCERT History Notes
Class 7 NCERT History Extra Questions
Class 7 NCERT Maths Solutions
Class 7 NCERT Science Solutions
Class 7 NCERT Science Notes
Class 7 NCERT Science Extra Questions

Class 8

Class 8 Kips Artificial Intelligence Solutions
Class 8 Gul Mohar English Solutions
English Grammar Class 8
English Writing Skills Class 8
Class 8 Map Pointing Solutions
Class 8 NCERT Civics Solutions
Class 8 NCERT Civics Notes
Class 8 NCERT Civics Extra Questions
Class 8 NCERT Geography Solutions
Class 8 NCERT Geography Notes
Class 8 NCERT Geography Extra Questions
Class 8 NCERT History Solutions
Class 8 NCERT History Notes
Class 8 NCERT History Extra Questions
Class 8 NCERT Maths Solutions
Class 8 NCERT Science Solutions
Class 8 NCERT Science Notes
Class 8 NCERT Science Extra Questions
Class 8 NCERT Science Exemplar
Class 8 NCERT Science MCQs

Class 9

Class 9 Kips Artificial Intelligence Solutions
Class 9 Map Pointing Solutions
Class 9 NCERT Civics Solutions
Class 9 NCERT Geography Solutions
Class 9 NCERT History Solutions
Class 9 NCERT Maths Solutions
Class 9 NCERT Science Solutions

Class 10

Class 10 Kips Artificial Intelligence Solutions
Class 10 NCERT English Solutions
→ Class 10 Map Pointing Solutions
Class 10 NCERT Civics Solutions
Class 10 NCERT Civics Notes
Class 10 NCERT Civics Extra Questions
Class 10 NCERT Geography Solutions
Class 10 NCERT Geography Notes
Class 10 NCERT Geography Extra Questions
Class 10 NCERT History Solutions
→ Class 10 NCERT History Notes
Class 10 NCERT History Extra Questions
Class 10 NCERT Maths Solutions
Class 10 NCERT Science Solutions
Class 10 NCERT Science Notes
Class 10 NCERT Science Extra Questions

Computer Languages

Python Basics

Extra Activities

Extra Activities

Extra Knowledge

Extra Information
General Knowledge
Historical Places in India
Latest technology
Physical Sciences
Facts

• Mathematics quick links
Mathematical Terms
Maths Tricks

Home Top