The phrase "eke out supplies" refers to a means of surviving or managing with limited resources. It can also imply making the most of what is available or managing with the bare minimum. Some synonyms for this phrase include "stretch supplies", "ration supplies", "make do with", "scrape by", and "live off the land". These phrases are often used in contexts where resources are limited or scarce, such as during periods of drought or famine. Regardless of the circumstances, these phrases convey a sense of resourcefulness and resilience in the face of adversity.