In the OT the covenant was struck between God and His People through the blood of so many animals and heaps of sacrifices, the New Covenant is different…
This is my blood of the covenant, which is poured out for many.
Just as Jeremiah 31 tells us, the new covenant was coming. It is a confirmation of the original covenant, yet the sacrifice is through himself! No more sacrifice, no more animal blood, no more laws on stone tablets… Jesus puts his Spirit in our hearts. We don’t have to teach the old Law, now Jesus’ Law is on our hearts, the Law of Love. Since the cross, we are free to follow Jesus!
see my video about Jesus and the New Covenant: http://johnmarkharris.net/abolish-fulfill