Question

please answer the question​

Answer 1

Answer:

4x-3/5-x+3/10=1/2

Now ATQ,

To find the value of x we have to solve the left one.,

So, by taking the LCM of 5 and 10.

8x-6-x+3/10=1/2

Now, 7x-3/10=1/2

Now, by cross multiplication method .,

2[7x-3]=10

14x-6=10

14x=10+6

14x=16

X=16/14

Or

X=8/7 Step-by-step explanation:

Answer 2

Answer :

x = $\sf\dfrac{16}{14}\:or\:\dfrac{8}{7}$

Step by step solved solution :

Given question :

$\sf\mapsto\:\dfrac{4x\:-\:3}{5}\:-\:\dfrac{x\:+\:3}{10}\:=\:\dfrac{1}{2}$

We will make the denominators same so let us start by taking the lcm , that is 10 in this case ,

$\sf\mapsto\:\dfrac{\dfrac{4x\:-\:3}{5}\:\times\:10\:-\:\dfrac{x\:+\:3}{10}\:\times\:10}{10}\:=\:\dfrac{1}{2}$

This gives us ,

$\sf\mapsto\:\dfrac{8x\:-\:6\:-\:x\:+\:3}{10}\:=\:\dfrac{1}{2}$

$\sf\mapsto\:\dfrac{8x\:-\:x\:+\:3\:-\:6}{10}\:=\:\dfrac{1}{2}$

$\sf\mapsto\:\dfrac{7x\:-\:3}{10}\:=\:\dfrac{1}{2}$

Cross multiply ,

• 2 ( 7x - 3 ) = 10
• 14x - 6 = 10
• 14x = 10 + 6
• 14x = 16
• $\sf\mapsto\:x\:=\:\dfrac{16}{14}$

Reduce to lowest terms by 2 ,

• $\sf\mapsto\:x\:=\:\dfrac{8}{7}$