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

For this case we have the following equation:

$ax = bx + 1$

From here, we must clear the value of x.

For this, we follow the following steps:

1) Place the variable on one side of the equation and the constant on the other side of the equation:

$ax - bx = 1$

2) Make common factor x:

$x (a -b) = 1$

3) Clear the value of x:

$x = \frac{1}{a-b}$

Answer:

$x = \frac{1}{a-b}$

The relationship between x and the difference of a - b is inversely proportional.

Answer 2

Answer:

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.

Step-by-step explanation: