atonement for souls

One of the cornerstones of Christian theology is that the only way to achieve atonement for sins is through the offering of a sacrifice whose blood is shed in our place. The Greek Testament makes this very clear in Hebrews 9:22 "...without the shedding of blood there is no forgiveness." Is this idea consistent with the teachings of the Tanach, or do the Jewish and Christian bibles diverge on this issue? Christians generally insist that the absolute need for a vicarious blood sacrifice is rooted