The invention relates to a tool system for an agricultural soil cultivation machine, having a base part which, by means of a detachable connection, is connected to a supporting element, in particular to a prong of the agricultural soil cultivation machine, wherein the base part has a cutter and at least one hard material element adjacent to the cutter, and wherein the supporting element has, in the end region thereof pointing in the working direction, laterally arranged wing shares fitted with hard metal plates. According to the invention the edge of the wing share that is fitted with hard metal plates is led as far as a side surface of the supporting element. The invention further relates to an associated wing share. The tool system has reduced wear and therefore prolonged replacement intervals.