Parallel Primary Inputs of Two Different Signal Transformers

I want to 'split' a balanced line signal so I was thinking of doing the following.

Balanced Line Output > 2 x 10k:10k Transformers > Separate Outputs

The balanced line output would be common for the primary inputs of the two transformers.

  1. Do you forsee any issues with this configuration?
  2. Will the input impedance of my system become 5kOhm? If so, what will be the output impedance now?