Final answer:
Jim Elliot and his wife were active in providing music lessons besides their missionary work of spreading the gospel.
Step-by-step explanation:
Jim Elliot and his wife, aside from spreading the gospel, engaged in various other activities. They were not involved in doing piecework at home, working in mines, or teaching school.
However, they did provide music lessons, which is an example of how missionaries at that time would often use their skills to serve communities in multiple ways.
While it's important to note that the other activities like doing piecework or teaching could be a part of missionary life in general, specific information indicates that music lessons were part of the Elliots' service.