To add the given expressions, we first need to find a common denominator for both fractions in terms of "x" and "y."

For the first expression, we have:
4x - 3/7y

For the second expression, we have:
4x - 5/4y

To add these expressions, we combine the "x" terms and the "y" terms separately:

Combining the "x" terms:
4x + 4x = 8x

Combining the "y" terms:
-3/7y + (-5/4)y = (-3/7 - 5/4)y
To find a common denominator, we multiply the denominators:
7 * 4 = 28

Now, we adjust the fractions to have a common denominator of 28:
-3/7 = -12/28
-5/4 = -35/28

Combining the fractions:
(-12/28 - 35/28)y = (-12 - 35)/28y = -47/28y

Putting it all together:
8x - 47/28y

Therefore, the simplified expression 1/3(4x) - 3/7(11y) + 2/1(4x) - 5/4(11y) is equal to 8x - 47/28y.