Answer:
The value of x taking denominator common is [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given expression as :
[tex]\frac{3}{5 (x - 4)}[/tex] = [tex]\frac{x}{(x - 4)}[/tex]
or, [tex]\frac{3}{5 (x - 4)}[/tex] - [tex]\frac{x}{(x - 4)}[/tex] = 0
Or, [tex]\frac{3}{5 (x - 4)}[/tex] - [tex]\dfrac{5 x}{5 (x - 4)}[/tex] = 0 (multiply numerator and denominator by 5 )
Now taking denominator as common
Or, [tex]\frac{1}{5 (x - 4)}[/tex] ( 3 - 5 x ) = 0
Or, [tex]\frac{1}{5 (x - 4)}[/tex] = 0 and (3 - 5x ) = 0
∵ (3 - 5x ) = 0
So, 5 x = 3
∴ x = [tex]\frac{3}{5}[/tex]
Hence The value of x taking denominator common is [tex]\frac{3}{5}[/tex] Answer
