## Solving linear equations with fractions and variables

**Solving Linear Equations with fractions:- **It is the part of algebra mathematics. Linear Equations is the format ax+b =O . This is the very easy chapter. This types of equation is solved by transfer their position left or right , in this case their sign will be changed according to albegra rules.

In this post we are explaining some questions with answers, this is very very important for students. We are explaining easy trick for Solve Linear equations with fractions.

**Q1. If 5x = 3x – 10, then find the value of x?**

Solve:- We have, 5x = 3x – 10

5x -3x = 10

2x = 10

x = (10/2)

x = 5 Ans.

**Q2. If 7n-3 = 4, then find the value of n?**

Solve:- 7n = 4 + 3

7n = 7

n = 1 Ans

**Q3.if 5x = 65-50, find the value of x?**

Solve: – 5x = 15

X = 15/5

X = 3 Ans.

**Q4. If 4h+34 = 30 then find the value of 2h ?**

Solve: we have, 4h + 34 =30

=> 4h = 30-34

=> 4h = -4

=> h = -4/4 = 1-

hence, 2h = 2* -1 = -2 Ans.

**Q5, If 6n -63 = 9 then find the value of x ?**

Solve:- We have, 6n – 63 =9

=> 6n = 9+63

=> 6n = 72

=> n = 72/6

n = 12 Ans.

**Q6, Evaluate the value of x if x +10 = 22**

Solve: x + 10 =22

=> x =22-10

=> x = 12 Ans.

**Q7, If 2x +3 = 1 then what is the value of x ?**

Solve: 2x + 3 =1

=> 2x = 1-3

=> 2x = -2

x = -2/2

x = -1 Ans

**Q8, If 6d = 42, then find the value of 11d ?**

Solve: we have, 6d =42

=> d =42/6

d =7

hence, 11d = 11 x 7 = 77 Ans.

**Q9. If 5a = 15 then find the value of 6a ?**

Solve:- we have, 5a = 15

=> a =15/5

a = 3

now find out, 6a (here put the value of a =3, we get

=> 6 x 3 = 18 Ans.

**Q10, if 5x = 80, then the value of 17x ?**

Solve: we have 5x =80

=> x = 80/5

x =16

now find out 17 x = ?

we put the value of x = 16, we get

=> 17 x 16 = 272 ans

### Linear Equation questions with Solutions

**Q11, if 20x -400 = 2400, then what is the value of 5x ?**

Solve:- we have

20x – 400 =2400

=> 20x = 2400+400

=> 20x =2800

=> x =2800/20

x = 140

hence, 5x =? ( put the value of x =140 we get

= 5 x 140 =700 Ans

**Question 12**: If 7n-3 =74, then find the value of n ?

Solution: ==> 7n = 74+3

==> 7n = 77

==> n = 77/7

==> n = 77