# Chapter 2 Linear Equations in One Variable

Chapter 2 Linear Equations in One Variable

Exercise 2.1

Ex 2.1 Class 8 Maths

Question 1.
Solve the equation: x – 2 = 7.

Solution:
Given: x – 2 = 7
x – 2 + 2 = 7 + 2 (adding 2 on both sides)
x = 9 (Required solution)

Ex 2.1 Class 8 Maths

Question 2.
Solve the equation: y + 3 = 10.

Given: y + 3 = 10
y + 3 – 3 = 10 – 3 (subtracting 3 from each side)
y = 7 (Required solution)

Ex 2.1 Class 8 Maths

Question 3.
Solve the equation: 6 = z + 2

Solution:
We have 6 = z + 2
6 – 2 = z + 2 – 2 (subtracting 2 from each side)
4 = z
Thus, z = 4 is the required solution.

Ex 2.1 Class 8 Maths

Question 4.
Solve the equations:
+ x =
Solution:

Ex 2.1 Class 8 Maths

Question 5.
Solve the equation 6x = 12.

Solution:
We have 6x = 12
6x ÷ 6 = 12 ÷ 6 (dividing each side by 6)
x = 2
Thus, x = 2 is the required solution.

Ex 2.1 Class 8 Maths

Question 6.
Solve the equation
= 10.
Solution:
Given = 10
× 5 = 10 × 5 (multiplying both sides by 5)
t = 50
Thus, t = 50 is the required solution.

Ex 2.1 Class 8 Maths

Question 7.
Solve the equation
= 18.

Solution:
We have = 18
× 3 = 18 × 3 (multiplying both sides by 3)
2x = 54
2x ÷ 2 = 54 ÷ 2 (dividing both sides by 2)
x = 27
Thus, x = 27 is the required solution.

Ex 2.1 Class 8 Maths

Question 8.
Solve the equation 1.6 =

Solution:
Given: 1.6 =
1.6 × 1.5 = × 1.5 (multiplying both sides by 1.5)
2.40 = y
Thus, y = 2.40 is the required solution.

Ex 2.1 Class 8 Maths

Question 9.
Solve the equation 7x – 9 = 16.

Solution:
We have 7x – 9 = 16
7x – 9 + 9 = 16 + 9 (adding 9 to both sides)
7x = 25
7x ÷ 7 = 25 ÷ 7 (dividing both sides by 7)
x =
Thus, x = is the required solution.

Ex 2.1 Class 8 Maths

Question 10.
Solve the equation 14y – 8 = 13.

Solution:
We have 14y – 8 = 13
14y – 8 + 8 = 13 + 8 (adding 8 to both sides)
14y = 21
14y ÷ 14 = 21 ÷ 14 (dividing both sides by 14)
y =
y =
Thus, y = is the required solution.

Ex 2.1 Class 8 Maths Question 11.
Solve the equation 17 + 6p = 9.

Solution:

We have, 17 + 6p = 9
17 – 17 + 6p = 9 – 17 (subtracting 17 from both sides)
6p = -8
6p ÷ 6 = -8 ÷ 6 (dividing both sides by 6)
p =
p =
Thus, p = is the required solution.

Ex 2.1 Class 8 Maths Question 12.
Solve the equation
+ 1 =

Solution: