Question

Transform the equation to isolate x: ax = bx 1. How is the value of x related to the difference of a and b?

Answer 1

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 2

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

Explanation:

We are given the equation,
`ax=bx+1`

On simplifying, we get,

`ax=bx+1`

i.e.
`ax-bx=1`

i.e.
`(a-b)x=1`

i.e.
`x=(1)/(a-b)`

So, we get,

The value of x is
`(1)/(a-b)`.

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