Final answer:
The primary role of the executive branch of the Texas government is to carry out laws. Hence the correct option is B.
Step-by-step explanation:
The primary role of the executive branch of Texas government, as in any government, is to carry out or execute laws. This involves implementing and enforcing laws passed by the legislative branch, as well as managing the day-to-day operations of the government. The executive branch, led by the Governor in Texas, is responsible for executing policies, overseeing state agencies, and ensuring the enforcement of laws to maintain order and serve the interests of the public. Options A, C, and D are more closely associated with the roles of the judicial and legislative branches.