Use no fancy hardware (except capture card) to achieve this.No third party applications such as audio repeater or TeamViewer.
You're always good to go, and even if you're not streaming, nothing is compromised. Just turn on your streaming PC and you're good to go on your main PC. The idea here, is to make using a second PC seamless. For the streamers who use a second PC with a capture card, this thread should come in handy.