Every point (x,y) in the solution set of 5x+2y<10 is also in the solution set of ax+y<k, where a and k are constants

Question

 I need help solving this problem, it will be helpful if someone can give me the answer to this word problem as soon as possible. 

Answer 1

5x + 2y < 10    given

2y < -5x + 10

y = -5x/2 + 5

 

ax + y < k

y < -ax + k

 

a = 5/2

k = 5