The present invention relates to a tool system for an agricultural ground cultivating machine having a base part which communicates, by means of a releasable connection, with a carrier element, in particular with a tine of the agricultural ground cultivating machine, wherein the base part comprises a cutter and, adjoining the cutter, at least one hard material element, and wherein the carrier element comprises, in its end region pointing in the operating direction, laterally arranged wing shares which are fitted with hard metal plates. In this case, it is provided that the edge of the wing share which is fitted with hard metal plates runs up to a lateral surface of the carrier element. The present invention additionally relates to an associated wing coulter. The tool system has reduced wear and tear and consequently extended changing intervals.