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

Question

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Answer 1

To isolate x in the equation ax = bx + 1, we can first move the term bx to the left side by subtracting it from both sides:

ax - bx = 1
x(a - b) = 1

Then, to solve for x, we can divide both sides by (a - b):

x = 1/(a - b)

Therefore, the value of x is equal to 1 divided by the difference of a and b: x = 1/(a - b). This means that x is inversely related to the difference of a and b - as the difference between a and b increases, the value of x decreases, and vice versa.