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

Linear equations in One Variable Chapter 2 Exercise 2.1

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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• Notes
  • Linear equation in One variable notes
• Worksheets
  • Linear equation in One variable Worksheet-1
  • Linear equation in One variable Worksheet-2
  • Linear equation in One variable Worksheet-3
  • Linear equation in One variable Test Paper
  • Linear equation in One variable Problems with Answers
• Ncert Solutions
  • NCERT Solution Linear equation in One variable Exercise 2.1
  • NCERT Solution Linear equation in One variable Exercise 2.2
  • NCERT Solution Linear equation in One variable Exercise 2.3
  • NCERT Solution Linear equation in One variable Exercise 2.4
  • NCERT Solution Linear equation in One variable Exercise 2.5
  • NCERT Solution Linear equation in One variable Exercise 2.6

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