System for attaching a rail for a rail vehicle onto a substrate, wherein the system - has a plate element, which has an underside, with which the plate element is supported on the substrate during use, an upper side facing away from the substrate during use and a through-opening (21, 22) leading from the upper side to the underside, and - comprises an anchor fitting (4, 5), which has an anchor fitting body recessed into the substrate during use and an insertion opening surrounded by an end section of the anchor fitting body for inserting an attachment element (11, 12) into the anchor fitting body, - wherein a holding section, which protrudes laterally from the end section, is connected to the end section of the anchor fitting body via a connecting section (30 - 33), - wherein a holder (38, 39), into which opens the through-opening (21, 22) of the plate element, is provided on the underside of the plate element, - and wherein the anchor fitting (4, 5) is held during use with its holding section in the holder (38, 39), which forms a stop, which acts in the longitudinal direction of the anchor fitting (4, 5), for the holding section of the anchor fitting (4, 5), characterized in that - the connecting section (30 - 33) has a predetermined breaking point and - that the inner contour of the through-opening (21, 22) of the plate element is adapted to the outer contour of the anchor fitting body such that the anchor fitting body can be moved through the through-opening (21, 22) of the plate element after a break of the connecting section (30 - 33) of the anchor fitting (4, 5). - has a plate element, which has an underside, with which the plate element is supported on the substrate during use, an upper side facing away from the substrate during use and a through-opening (21, 22) leading from the upper side to the underside, and - comprises an anchor fitting (4, 5), which has an anchor fitting body recessed into the substrate during use and an insertion opening surrounded by an end section of the anchor fitting body for inserting an attachment element (11, 12) into the anchor fitting body, - wherein a holding section, which protrudes laterally from the end section, is connected to the end section of the anchor fitting body via a connecting section (30 - 33), - wherein a holder (38, 39), into which opens the through-opening (21, 22) of the plate element, is provided on the underside of the plate element, - and wherein the anchor fitting (4, 5) is held during use with its holding section in the holder (38, 39), which forms a stop, which acts in the longitudinal direction of the anchor fitting (4, 5), for the holding section of the anchor fitting (4, 5), - wherein a holding section, which protrudes laterally from the end section, is connected to the end section of the anchor fitting body via a connecting section (30 - 33), - wherein a holder (38, 39), into which opens the through-opening (21, 22) of the plate element, is provided on the underside of the plate element, - and wherein the anchor fitting (4, 5) is held during use with its holding section in the holder (38, 39), which forms a stop, which acts in the longitudinal direction of the anchor fitting (4, 5), for the holding section of the anchor fitting (4, 5), - the connecting section (30 - 33) has a predetermined breaking point and - that the inner contour of the through-opening (21, 22) of the plate element is adapted to the outer contour of the anchor fitting body such that the anchor fitting body can be moved through the through-opening (21, 22) of the plate element after a break of the connecting section (30 - 33) of the anchor fitting (4, 5).