In this page we have ** NCERT book Solutions for Class 8th Maths:Linear equations** for
EXERCISE 3 . Hope you like them and do not forget to like , social share
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**Question 1**

Solve and check result: 3*x* = 2*x* + 18

**Answer **

3*x* = 2*x* + 18

Transposing 2*x* to L.H.S, we obtain

3*x* − 2*x* = 18

*x* = 18

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 3*x* = 3 × 18 = 54

R.H.S = 2*x* + 18 = 2 × 18 + 18 = 36 + 18 = 54

L.H.S. = R.H.S.

It proves that result is correct

**Question 2**

Solve and check result: 5*t* − 3 = 3*t* − 5

**Answer **

5*t* − 3 = 3*t* − 5

Transposing 3*t* to L.H.S and −3 to R.H.S, we obtain

5*t* − 3*t* = −5 − (−3)

2*t* = −2

Dividing both sides by 2

*t* = −1

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 5*t* − 3 = 5 × (−1) − 3 = −8

R.H.S = 3*t* − 5 = 3 × (−1) − 5 = − 3 − 5 = −8

L.H.S. = R.H.S.

It proves that result is correct

**Question 3**

Solve and check result

5*x* + 9 = 5 + 3*x*

*Answer *

5*x* + 9 = 5 + 3*x*

Transposing 3*x* to L.H.S and 9 to R.H.S, we obtain

5*x* − 3*x *= 5 − 9

2*x* = −4

Dividing both sides by 2, we obtain

*x *= −2

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 5*x* + 9 = 5 × (−2) + 9 = −1

R.H.S = 5 + 3*x* = 5 + 3 × (−2) = −1

L.H.S. = R.H.S.

It proves that result is correct

**Question 4**

Solve and check result:

4*z* + 3 = 6 + 2*z*

*Answer *

4*z* + 3 = 6 + 2*z*

Transposing 2*z* to L.H.S and 3 to R.H.S, we obtain

4*z* − 2*z* = 6 − 3

2*z* = 3

Dividing both sides by 2, we obtain

z=3/2

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 4*z* + 3 = 4 × (3/2) + 3 = 6 + 3 = 9

R.H.S = 6 + 2*z* = 6 + 2 × (3/2) = 6 + 3 = 9

L.H.S. = R.H.S.

It proves that result is correct

**Question 5**

Solve and check result:

2*x* − 1 = 14 − *x*

*Answer *

2*x* − 1 = 14 − *x*

Transposing *x* to L.H.S and 1 to R.H.S, we obtain

2*x* + *x* = 14 + 1

3*x* = 15

Dividing both sides by 3, we obtain

*x* = 5

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 2*x* − 1 = 2 × (5) − 1 = 10 − 1 = 9

R.H.S = 14 − *x* = 14 − 5 = 9

L.H.S. = R.H.S.

It proves that result is correct

**Question 6**

Solve and check result:

8*x* + 4 = 3(*x* − 1) + 7

**Answer **

8*x* + 4 = 3(*x *− 1) + 7

8*x* + 4 = 3*x* − 3 + 7

Transposing 3*x* to L.H.S and 4 to R.H.S, we obtain

8*x *− 3*x* = − 3 + 7 − 4

5*x* = − 7 + 7

5x=0

x=0

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 8*x* + 4 = 8 × (0) + 4 = 4

R.H.S = 3(*x* − 1) + 7 = 3 (0 − 1) + 7 = − 3 + 7 = 4

L.H.S. = R.H.S.

It proves that result is correct

**Question 7- **

Solve and check result:

**Answer **

Multiplying both sides by 5, we obtain

5*x* = 4(*x* + 10)

5*x* = 4*x* + 40

Transposing 4*x* to L.H.S, we obtain

5*x* − 4*x* = 40

*x* = 40

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = *x* = 40

R.H.S = = 40

L.H.S. = R.H.S.

It proves that result is correct

**Question 8**

Solve and check result:

**Answer **

Transposing 7x/15 on LHS and 1 on RHS

Multiplying by 15 on both sides

10x-7x= 30

3x=30

Dividing by 3 on both the sides

x=10

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = =23/3

R.H.S= =23/3

L.H.S. = R.H.S.

It proves that result is correct

**Question 9**

Solve and check result

**Answer **

Transposing *y* to L.H.S and 5/3 to R.H.S, we obtain

3y=21/3

3y=7

Dividing both sides by 3, we obtain

y=7/3

Let us evaluate both the LHS and RHS for validate the answer

L.H.S. = R.H.S.

It proves that result is correct

**Question 10**

Solve and check result:

**Answer **

Transposing 3*m* to R.H.S and 8/5 to L.H.S

8/5= 2m

Dividing both sides by 2

m=4/5

Let us evaluate both the LHS and RHS for validate the answer

L.H.S = 3m=12/5

R.H.S = 5m –(8/5)=12/5

L.H.S. = R.H.S.

It proves that result is correct

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