Now if perfection could have been attained through the Levitical priesthood (for on this basis the people received the law), why was there still need for another priest to appear--one in the order of Melchizedek and not in the order of Aaron?

Hebrews 5:6
And in another passage God says: "You are a priest forever in the order of Melchizedek."

Hebrews 7:10
For when Melchizedek met Abraham, Levi was still in the loin of his ancestor.

Hebrews 7:12
For when the priesthood is changed, the law must be changed as well.

Hebrews 7:13
He of whom these things are said belonged to a different tribe, from which no one has ever served at the altar.

Hebrews 7:17
For it is testified: "You are a priest forever in the order of Melchizedek."

Hebrews 7:18
So the former commandment is set aside because it was weak and useless

Hebrews 8:7
For if that first covenant had been without fault, no place would have been sought for a second.

Hebrews 9:6
When everything had been prepared in this way, the priests entered regularly into the first room to perform their sacred duties.

Hebrews 10:1
For the law is only a shadow of the good things to come, not the realities themselves. It can never, by the same sacrifices offered year after year, make perfect those who draw near to worship.

If therefore perfection were by the Levitical priesthood, (for under it the people received the law,) what further need was there that another priest should rise after the order of Melchisedec, and not be called after the order of Aaron?