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# RD Sharma Solutions (Part - 1) - Ex - 8.2, Linear Equations in One Variable, Class 7, Math Class 7 Notes | EduRev

## RD Sharma Solutions for Class 7 Mathematics

Created by: Abhishek Kapoor

## Class 7 : RD Sharma Solutions (Part - 1) - Ex - 8.2, Linear Equations in One Variable, Class 7, Math Class 7 Notes | EduRev

The document RD Sharma Solutions (Part - 1) - Ex - 8.2, Linear Equations in One Variable, Class 7, Math Class 7 Notes | EduRev is a part of the Class 7 Course RD Sharma Solutions for Class 7 Mathematics.
All you need of Class 7 at this link: Class 7

#### Question 1:

x âˆ’ 3 = 5

x âˆ’ 3 = 5
Adding 3 to both sides, we get
â‡’ x âˆ’ 3 + 3 = 5 + 3
â‡’ x = 8
Verification:
Substituting x= 8 in LHS, we get
LHS = x âˆ’ 3 and RHS = 5
LHS = 8 âˆ’ 3 = 5 and RHS = 5
LHS = RHS
Hence, verified.

Question 2:

x +9  = 13

x + 9 = 13
Subtracting 9 from both sides, we get
=> x + 9 âˆ’ 9 = 13 âˆ’ 9
=> x = 4
Verification:
Substituting x = 4 on LHS, we get
LHS = 4 + 9 = 13 = RHS
LHS = RHS
Hence, verified.

#### Question 3:

Verification:
Substituting x = 2 in LHS, we get

LHS =

LHS = RHS
Hence, verified.

#### Question 4:

3x = 0

3x = 0
Dividing both sides by 3, we get

Verification:

Substituting x = 0 in LHS = 3x, we get
LHS = 3 Ã—Ã— 0 = 0 and RHS = 0
LHS = RHS
Hence, verified.

#### Question 5:

Solve each of the following equations and check your answes: x/2=0

x/2=0

Multiplying both sides by 2, we get

Verification:

Substituting x= 0 in LHS, we get
LHS =0/2= 0 and RHS = 0
LHS = 0 and RHS = 0
LHS = RHS
Hence, verified.

#### Question 6:

Verification:

Substituting x= 1 in LHS, we get

LHS = RHS
Hence, verified.

#### Question 7:

Verification:

Substituting x = 3 in LHS, we get

#### Question 8:

10 âˆ’ y = 6

10 âˆ’ y = 6
Subtracting 10 from both sides, we get
â‡’ 10 âˆ’ y âˆ’ 10 = 6 âˆ’ 10
â‡’ âˆ’y = âˆ’4.
â‡’ Multiplying both sides by âˆ’1, we get
â‡’ âˆ’y Ã—âˆ’1 = âˆ’4 Ã—âˆ’1
â‡’ y = 4
Verification:
Substituting y = 4 in LHS, we get
LHS = 10 âˆ’ y = 10âˆ’4 = 6 and RHS = 6
LHS = RHS
Hence, verified.

#### Question 9:

7 + 4y = âˆ’5

7 + 4y = âˆ’5
Subtracting 7 from both sides, we get
â‡’ 7 + 4y âˆ’ 7 = âˆ’5 âˆ’ 7
â‡’  4y  = âˆ’12
Dividing both sides by 4, we get

Verification :
Substituting y = âˆ’3 in LHS, we get
LHS = 7 + 4y = 7  + 4(âˆ’3) = 7 âˆ’ 12 = âˆ’5, and RHS = âˆ’5
LHS = RHS
Hence, verified.

#### Question 10:

Subtracting 4/5 from both sides, we get

Multiplying both sides by -1, we ge

Verification :

LHS = RHS
Hence, verified.

#### Question 11:

Dividing both sides by 2, we get

Verification :

Substituting y = 1/12 in LHS, we get

LHS =

LHS = RHS
Hence, verified.

Question 12:

Adding 8 to both sides, we get

Multiplying both sides by 10, we get

Dividing both sides by 7, we get

Verification :

Substituting x = 220/7 in RHS, we get

LHS = 14, and RHS =

LHS = RHS
Hence, verified.

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