These verses summarize the argument that God has superseded the Levitical priesthood and the Mosaic Law (Covenant). He has replaced the old system with a system that can do what the old one could not do, namely, bring us into intimate relationship with God. [source][source][source]
"The term athetesis, "annulment," is a stronger term than metathesis, "alteration" ( Hebrews 7:12)." [1][source]
The "better hope" we have is the assurance that this relationship is now possible for us to experience thanks to our great High Priest. [source][source][source]