UTA recorded seven hits in the game that lasted just over two hours.
UT Arlington picked up its first series win since March 15 of this season when it defeated South Alabama.
UTA will wrap up the series on Sunday with a 1 p.m. rubber match.
UTA cut a five run deficit to two late in the game, but were unable to come away with the victory against Baylor.
UTA fell 2-1 in the opening game before dropping a 7-5 decision to ULM on Saturday.