Bunuel
Notice that x/a = x - b represents a linear equation with one unknown, x. Generally, such equations have one solution for x. For instance, x/2 = x - 1, which has one solution: x = 2. Similarly, x/4 = x + 3 also has one solution: x = -4. The only way for x/a = x - b to have more solutions is if the left-hand side and the right-hand side are identical, resulting in x = x, which is true for all values of x, hence more than one solution. This could happen if a = 1 and b = 0, thereby leading to x = x, and infinitely many solutions for x.
Please helps me to understand what’s going wrong with my reasoning here.
X/a = X-b
X= aX-ab
X(a-1)= ab
X= ab/(a-1)
Here the only way for X to have more than 1 solution , the denominator have to be equal to 0
Then a=1
(a-1)=0
ab/0 = infinite
And the numerator has to be different to zero to avoid 0/0( undetermined form)
as a=1 b just has to differ to zero
I don’t have a clear value of b