Let's assume that after t minutes, the first machine will have filled x cans of soup, and the second machine will have filled y cans of soup.
For the first machine, we can use the formula:
x = 16t + 92
For the second machine, we can use the formula:
y = 13t + 104
To find when the two machines will have filled the same number of cans of soup, we need to solve for t when x = y:
16t + 92 = 13t + 104
Simplifying the equation:
3t = 12
t = 4
Therefore, the two machines will have filled the same number of cans of soup after 4 minutes.