Respuesta :

The equation ax = bx + 1 is the same as x = 1/(a  - b) when solved for x. This means that x is equal to the reciprocal of the difference of a and b.


Answer:

The value of x is reciprocal of the difference of a and b.

Step-by-step explanation:

We are given the equation, [tex]ax=bx+1[/tex]

On simplifying, we get,

[tex]ax=bx+1[/tex]

i.e. [tex]ax-bx=1[/tex]

i.e. [tex](a-b)x=1[/tex]

i.e. [tex]x=\frac{1}{a-b}[/tex]

So, we get,

The value of x is [tex]\frac{1}{a-b}[/tex].

That is, the value of x is reciprocal of the difference of a and b.