Hebrews 7:11

If then, perfection came through the Levitical priesthood (for under it the people received the law), what further need was there for another priest to appear, said to be in the order of Melchizedek and not in the order of Aaron?

Hebrews 8:7

For if that first covenant had been faultless, there would have been no occasion for a second one.

Galatians 2:21

I do not set aside the grace of God, for if righteousness comes through the law, then Christ died for nothing.

Hebrews 5:6

also said in another passage, You are a priest forever in the order of Melchizedek.

Hebrews 7:17-19

For it has been testified:

You are a priest forever
in the order of Melchizedek.

Galatians 4:3

In the same way we also, when we were children, were in slavery under the elemental forces of the world.

Galatians 4:9

But now, since you know God, or rather have become known by God, how can you turn back again to the weak and bankrupt elemental forces? Do you want to be enslaved to them all over again?

Colossians 2:10-17

and you have been filled by Him, who is the head over every ruler and authority.

Hebrews 5:10

and He was declared by God a high priest in the order of Melchizedek.

Hebrews 6:20

Jesus has entered there on our behalf as a forerunner, because He has become a high priest forever in the order of Melchizedek.

Hebrews 7:15

And this becomes clearer if another priest like Melchizedek appears,

Hebrews 7:21

but He became a priest with an oath made by the One who said to Him:

The Lord has sworn,
and He will not change His mind,
You are a priest forever.

Hebrews 8:10-13

But this is the covenant
that I will make with the house of Israel
after those days, says the Lord:
I will put My laws into their minds
and write them on their hearts.
I will be their God,
and they will be My people.

Hebrews 10:1-4

Since the law has only a shadow of the good things to come, and not the actual form of those realities, it can never perfect the worshipers by the same sacrifices they continually offer year after year.

Treasury of Scripture Knowledge

Summary

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?

General references

Bible References

Perfection

Hebrews 7:18
So the previous command is annulled because it was weak and unprofitable
Hebrews 8:7
For if that first covenant had been faultless, there would have been no occasion for a second one.
Hebrews 10:1
Since the law has only a shadow of the good things to come, and not the actual form of those realities, it can never perfect the worshipers by the same sacrifices they continually offer year after year.
Galatians 2:21
I do not set aside the grace of God, for if righteousness comes through the law, then Christ died for nothing.
Galatians 4:3
In the same way we also, when we were children, were in slavery under the elemental forces of the world.
Colossians 2:10
and you have been filled by Him, who is the head over every ruler and authority.

What

Hebrews 7:26
For this is the kind of high priest we need: holy, innocent, undefiled, separated from sinners, and exalted above the heavens.

Another

Hebrews 7:15
And this becomes clearer if another priest like Melchizedek appears,
Hebrews 5:6
also said in another passage, You are a priest forever in the order of Melchizedek.
Hebrews 6:20
Jesus has entered there on our behalf as a forerunner, because He has become a high priest forever in the order of Melchizedek.

General references

Numbers 20:26
Remove Aaron’s garments and put them on his son Eleazar. Aaron will be gathered to his people and die there.”

Holman Christian Standard Bible®, Copyright © 1999, 2000, 2002, 2003, 2009 by Holman Bible Publishers.