First, let's simplify the first equation:

90/(x-5) = 3
30 = 3(x-5)
30 = 3x - 15
45 = 3x
x = 15

Now, let's simplify the second equation:

(x-4)/6 = 15
x-4 = 90
x = 94

So the solution to the system of equations is x = 15 and x = 94.