To delete a member from your friends list click on the Profile in the upper right hand corner and from the drop down menu choose My Profile.
Then, scroll down to Social to see a list of your friends on HomeExchange.
Hover your mouse over the rectangle with the picture of the person you want to delete. A little "x" will appear in the top right corner of the rectangle (in the image below, the little "x" appears on "Richard", the photo in the middle).
Click on the little "x" and a small window will pop up asking you to confirm the removal of this member from your friends list. By clicking on "yes", you will permanently delete this person from your list.