Modulus and power functions

Question

The rates of return from firms A, B and C are x%, y% and 5% respectively. Firm A's rate differs from firm B's rate by half the difference in the rates between firm B and firm C. Find the possible expressions of y in terms of x, given that y>5.

 

Ans: y=2/3 x + 5/3 or y=2x-5

 

Thank You :)

Answer 1

y = (2/3)x + 5/3

x-y = (y-5)/2

2x-2y = y-5

3y =2x+5

y = 2x/3 + 5/3