Bobbi Guthrie and doubles partner Mysti Morris knocked off UNC's Kate Pinchbeck and Kendrick Bunn 8-4 at No. 1 doubles.
Despite the win by Guthrie and Morris, North Carolina earned the doubles point with wins at No. 2 and No. 3.
The Yellow Jackets and UNC split singles, each claiming three victories.
The Tar Heels' three singles victories secured the win for UNC.
Sophomore Marlene Mejia, the nation's 14th-ranked player by the Intercollegiate Tennis Association, held off Debbie Reynolds 6-4, 6-3, at No. 1 singles.
Kate Pinchbeck defeated Jaime Wong 6-4, 6-2, at No. 3 singles and UNC freshman Elina Bairos clinched the victory with a 6-3, 3-6, 6-4 victory against Mason Miller at No. 5 singles.
The Tar Heels also defeated Clemson 7-0 on Saturday.
UNC, ranked 20th, won in convincing fashion claiming victory in all of the singles and doubles events.
Bunn and Pinchbeck beat Clemson's Anna Svitskaya and Laurence Janey while Mejia and Rotondi defeated Ana Stiglic and Christina Oldock 8-1 at No. 2 doubles. Tar Heels Erin Niebling and Courtney Zalinski completed the doubles sweep with an 8-3 win.