The solution for b is b = a - (3k/p) for k=\frac{p(a-b)}{3}
Given,
k = (p(a-b))/3
We have to solve for b.
The formula for k is given below:
k = (p(a-b))/3
To find b, we can rearrange the given formula for k as follows:
(p(a-b))/3 = k
Multiplying both sides by 3:
p(a-b) = 3k
Distributing p: pa - pb = 3k
Subtracting pa from both sides: -pb = 3k - pa
Multiplying both sides by -1: pb = pa - 3k
Thus, b = (pa - 3k)/p, which can be simplified as b = a - (3k/p).
Therefore, the solution for b is b = a - (3k/p).