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

Sample Response: 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.

this is correct on edge

Answer 2

`x=(1)/(a-b)`

The value of x is inversely proportional to the difference of a and b.

Explanation:

The given expression is
`ax-bx+1`

We factor the left hand side to get:

`(a-b)x=1`

We divide both sides by: a-b

`x=(1)/(a-b)`

Observe that the difference of a and b is in the denominator.

The whole is of the form:
`x\propto (1)/(a-b)`

The value of x is inversely proportional to the difference of a and b.