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

Answer:

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

Step-by-step 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. $x=\frac{1}{a-b}$

So, we get,

The value of x is $\frac{1}{a-b}$.

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

Answer 2

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.