To solve this system of equations, you can use the method of substitution or elimination. Here is how you can do it using the substitution method:

First equation:

(1/3 + 1/2) x = 3.75
(5/6) x = 3.75
5x/6 = 3.75
5x = 6 * 3.75
5x = 22.5
x = 22.5 / 5
x = 4.5

Now, substitute x = 4.5 into the second equation:

(3/5 - 0.25) x = 4.6
(3/5 - 0.25) 4.5 = 4.6
(0.6 - 0.25) 4.5 = 4.6
0.35 4.5 = 4.6
1.575 = 4.6

Since 1.575 is not equal to 4.6, there might be a mistake in the calculations. I recommend checking the calculations to find and correct the error.