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

Answer 1

To isolate x in the equation ax = bx + 1, we can first subtract bx from both sides to get:

ax - bx = 1

Then, we can factor out x from the left side:

x(a - b) = 1

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

x = 1/(a - b)

The value of x is inversely related to the difference of a and b, as can be seen from the equation x = 1/(a - b). If the difference between a and b is large, x will be small, and vice versa.