The first election to Dyfed County Council was held in April 1973. It was followed by the 1977 election. The vast majority of the councillors elected had been members of one of the three previous county authorities which were merged to create Dyfed, namely Cardiganshire, Carmarthenshire, and Pembrokeshire.
Carmarthenshire
The first elections, in line with the pattern of local government in West Wales, resulted in an Independent majority. However, these Independents were, by and large, genuinely unattached to any political grouping. Labour comfortably had the largest number of seats but were to be consistently outvoted by the Independents.
In the urban part of Carmarthenshire the contests were, in the main, between Labour candidates and one other opponent. In the rural areas, however, several Independent members of the former Carmarthenshire County Council, including aldermen, fought each other. In several cases, once these initial contests had taken place, the Independent councillor was returned unopposed.
The most significant contest, which attracted press coverage, was at Llangadog (Llandeilo No. 6 Ward) where the President of Plaid Cymru, Gwynfor Evans, a member of Carmarthenshire Council since 1949 was defeated by an Independent. The results for Plaid Cymu were disappointing and their one success in Carmarthen Rural No. 7 (the Whitland area) was partly caused by the non-Plaid vote being split between two Independent candidates.