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