In the 7th and 8th chapters of Hebrews, our writer is speaking specifically to Jews.  He covers the Old Covenant that God made with Abraham and explains why earthly priests were not able to cover their sin, (nor ours).  He then explains the New Covenant that God made through Jesus Christ

If you are interested in Melchisedec,  these are the chapters where you find references to the Old Testament priesthood.  The writer makes a rock solid case for us that we have only one priest.  Jesus.

Heb. 7: 19  "For the law made nothing perfect, but the bringing in of a better hope did;  by the which (whom) we draw near unto God."  The writer is talking of Jesus.  The better Hope.

Heb. 7: 24-25   "But this man, (Jesus) because he continues forever, has an unchangeable priesthood.  Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever lives to make intercession for them."

The law didn't do anything but show us we couldn't keep it.  It made nothing perfect.

The sacrifices had to be made over and over again--and even then they didn't really cover sin.

So God sent hope.  Hope for our condition.  Jesus is our hope and is able to save us--to the uttermost.

We draw near to God through our priest Jesus, who intercedes for us.  Forever.

What a deal.  You and I can talk to God.  And all because Jesus was our sacrifice for sin.

The only thing that I don't ever seem to get is "Why,"  Why would a perfect God want you, or me?