To solve the system of equations:

4.12x + 11.68 = 160
3.34y - 20.64 = 300

First, we will solve for x in the first equation:
4.12x = 160 - 11.68
4.12x = 148.32
x = 148.32 / 4.12
x = 36

Next, we will solve for y in the second equation:
3.34y = 300 + 20.64
3.34y = 320.64
y = 320.64 / 3.34
y = 96

Therefore, the solutions to the system of equations are:
x = 36
y = 96