Question

please solve this it is very important plz​

Answer 1

Topic :-

Linear Equation

Given :-

$\dfrac{4x}{9}+6=6x+8$

To Find :-

Value of 'x'.

Method Used :-

Transposition

In this method we generally transpose a number from Left or Right Hand Side to Right or Left Hand Side. To transpose, we apply same operators with a number on both sides.

Solution :-

$\dfrac{4x}{9}+6=6x+8$

Subtract 8 from both sides,

$\dfrac{4x}{9}+6-8=6x+8-8$

$\dfrac{4x}{9}-2=6x$

Subtract 4x/9 from both sides,

$\dfrac{4x}{9}-\dfrac{4x}{9}-2=6x-\dfrac{4x}{9}$

$-2=6x-\dfrac{4x}{9}$

Solving further,

$-2=\dfrac{54x-4x}{9}$

$-2=\dfrac{50x}{9}$

Multiply 9 both sides,

$-2\times 9=\dfrac{50x}{9}\times 9$

$-18=50x$

Divide by 50 both sides,

$\dfrac{-18}{50}=\dfrac{50x}{50}$

$\dfrac{-18}{50}=x$

Reducing it,

$\dfrac{-9}{25}=x$

Answer :-

So, value of x is $\dfrac{-9}{25}$.