Was equal to the price per pound of chicken ax by 12 2x 8

Was equal to the price per pound of chicken? ax + by = 12 2x + 8y = 60 In the system of equations above, a and b are constants. If the system has infinitely many solutions, what is the value of a? What is the value of b? Show work.

Solution

ax + by = 12

2x + 8y = 60

if the system has infinite solutions then both equations must be same

multiplying equation 1 by 5

5ax + 5ay = 60

now setting 5ax = 2x

5a = 2

a = 2/5

5by = 8y

b = 8/5

hence,

a =2/5

b = 8/5