To solve the first equation, we need to isolate x.

5x = 10/11
x = (10/11) / 5
x = 10/55
x = 2/11

Now, substitute x = 2/11 into the second equation:

(7/9)(2/11) - (5/12)(2/11) = 1 5/8
(14/99) - (10/132) = 17/8
(14/99) - (5/66) = 17/8
(142 - 53)/(99*2) = 17/8
(28 - 15)/198 = 17/8
13/198 = 17/8

This equation does not have a valid solution.