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.

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**Solve each of the following equations and check your answers: 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:**

**Solve each of the following equations and check your answers: 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.

**Solve each of the following equations and check your answers:**

Verification:

Substituting x = 2 in LHS, we get

LHS =

LHS = RHS

Hence, verified.

**Solve each of the following equations and check your answers: 3 x = 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.

**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.

**Solve each of the following equations and check your answers:**

Verification:

Substituting x= 1 in LHS, we get

LHS = RHS

Hence, verified.

**Solve each of the following equations and check your answers:**

Verification:

Substituting x = 3 in LHS, we get

**Solve each of the following equations and check your answers: 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.

**Solve each of the following equations and check your answers: 7 + 4 y = âˆ’5**

7 + 4*y* = âˆ’5

Subtracting 7 from both sides, we get

â‡’ 7 + 4*y* âˆ’ 7 = âˆ’5 âˆ’ 7

â‡’ 4*y* = âˆ’12

Dividing both sides by 4, we get

Verification :

Substituting y = âˆ’3 in LHS, we get

LHS = 7 + 4*y* = 7 + 4(âˆ’3) = 7 âˆ’ 12 = âˆ’5, and RHS = âˆ’5

LHS = RHS

Hence, verified.

**Solve each of the following equations and check your answers:**

Subtracting 4/5 from both sides, we get

Multiplying both sides by -1, we ge

Verification :

LHS = RHS

Hence, verified.

**Solve each of the following equations and check your answers:**

Dividing both sides by 2, we get

Verification :

Substituting y = 1/12 in LHS, we get

LHS =

LHS = RHS

Hence, verified.

**Question 12:**

**Solve each of the following equations and check your answers:**

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.