This paper analyzes the voice packet dropping probability and the average message transmission delay of a Bluetooth radio link in which talkspurts and messages are simultaneously transmitted as voice packets and data packets over an SCO (Synchronous Connection-Oriented) link and an ACL (Asynchronous ConnectionLess) link, respectively. The behaviors of an SCO link and an ACL link are modeled using Markov processes. Using these two Markov models and EPA (Equilibrium Point Analysis), the voice packet dropping probability and the average message transmission delay are derived analytically in terms of the permission probability of a voice packet and a data packet, the length of a message, the number of slaves, and the arrival rate of the messages. Some numerical examples are given to show how the permission probabilities, the number of slaves and other parameters influence the transmission delay, when both the SCO link and the ACL link are used at the same time.