Frank weighs 160 pounds and is on diet to gain 2 pounds a week so that he can make the...

Frank weighs 160 pounds and is on diet to gain 2 pounds a week so that he can make the football team. John weighs 208 pounds and is on diet to lose 3 pounds a week so that he can be on the wrestling team in a lower weight class. 

a) If Frank and John can meet these goals with their diets, when will they weigh the same, and how much will they way at the time?

b) Clearly explain your method. 

Hint: Use the information in the problem to set up y=mx+b equations for both Frank and John

Define your variables: 

y= total weighs (lbs)

x= time (weeks)

m= weight growth each week (lbs/weeks)

b= starting weights (lbs)

Set the equations and solve for x