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Linear equations in One Variable Exercise 2.1|NCERT Solutions for Class 8 Maths




Linear equations in One Variable Chapter 2 Exercise 2.1

In this page we have NCERT Solutions for Class 8 Maths Chapter 2 : Linear equations in One Variable for Exercise 2.1. Hope you like them and do not forget to like , social share and comment at the end of the page.
Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
Solving Equations which have Linear Expressions on one Side and Numbers on the other Side
Question 1:
Solve: x-2=7
Answer:
x - 2 = 7
Transposing 2 to R.H.S, we obtain
x = 7 + 2 = 9

Question 2:
Solve: y+3=10
Answer :
y + 3 = 10
Transposing 3 to R.H.S, we obtain
y = 10 - 3 = 7

Question 3:
Solve: 6=z+2
Answer
6=z+2
Or
z+2=6
Transposing 2 to R.H.S, we obtain
z=6 -2=4

Question 4
Solve:
$\frac {3}{7} + x =\frac {17}{7}$

Answer :
$\frac {3}{7} + x =\frac {17}{7}$
Multiplying 7 on both sides
3+7x=17
Transposing 3 to R.H.S, we obtain
7x=17-3=14
7x=14
Dividing both the sides by 7
x=2

Question 5:
Solve:
6x=12

Answer:
6x=12
Dividing both the sides by 6
x=2

Question 6:
Solve:
$\frac {t}{5}=10$
Answer:
$\frac {t}{5}=10$
Multiplying 5 on both sides
t=50

Question 7:
Solve
$\frac {2x}{3}=18$
Answer:
$\frac {2x}{3}=18$
Multiplying both the sides by 3
2x=54
Dividing both the sides by 2
x=27

Question 8:
Solve:
$1.6 = \frac {y}{1.5}$

Answer:
$1.6 = \frac {y}{1.5}$
Multiplying both the sides by 1.5
1.6 × 1.5=y
y=2.4

Question 9:
Solve:
7x-9=16
Answer:
7x-9=16
Transposing 9 to R.H.S, we obtain
7x=16+9
7x=25
Dividing by 7 on both the sides
x=25/7




Question 10:
Solve:
14y-8=13

Answer:
14y-8=13
Transposing 8 to R.H.S, we obtain
14y=13+8
14y=21
Dividing 14 on both the sides
y=21/14=3/2

Question 11:
Solve:
17+6p=9
Answer:
17+6p=9
Transposing 17 to R.H.S, we obtain
6p=9-17
6p=-8
Dividing 6 on both the sides
p=-8/6=-4/3

Question 12:
Solve:
$\frac {x}{3}+1=\frac {7}{15}$

Answer:
$\frac {x}{3}+1=\frac {7}{15}$
The LCM of denominator is 15, So multiplying both sides by 15
5x +15=7
Transposing 15 to R.H.S, we obtain
5x=-8
Dividing 5 on both the sides
x=-8/5

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