Hebrews 7:11

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

Hebrews 8:7

For if the first had been faultless, no place would have been sought for a second.

Galatians 2:21

I do not make void the grace of God; for if righteousness is by the law, then Christ died in vain.

Hebrews 5:6

As he saith also in another place, Thou art a priest for ever, after the order of Melchisedeck:

Hebrews 7:17-19

For it is testified, Thou art a priest for ever, after the order of Melchisedek.

Galatians 4:3

So we also, when we were children, were in bondage under the elements of the world.

Galatians 4:9

But now having known God, or rather being known of God, how turn ye back to the weak and beggarly elements, to which ye desire to be in bondage again?

Colossians 2:10-17

And ye are filled by him, who is the head of all principality and power.

Hebrews 5:10

Called of God an high priest, after the order of Melchisedek.

Hebrews 6:20

Whither Jesus our fore-runner is entered for us, made an high-priest for ever after the order of Melchisedek.

Hebrews 7:15

And it is still far more evident, because another priest is raised up, after the likeness of Melchidek, Who was made not after the law of a carnal commandment,

Hebrews 7:21

but this with an oath, by him that said unto him, The Lord sware and will not repent, Thou art a priest for ever, after the order of Melchisedek:)

Hebrews 8:10-13

For this is the covenant which I will make with the house of Israel after those days, saith the Lord: I will put my laws in their minds, and write them on their hearts, and I will be to them a God, and they shall be to me a people.

Hebrews 10:1-4

For the law having a shadow of good things to come, not the very image of the things, can never with the same sacrifices which they offer year by year continually, make the comers thereunto perfect.

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?

Bible References

Perfection

Hebrews 7:18
For verily there is a disannulling of the preceding commandment, for the weakness and unprofitableness thereof.
Hebrews 8:7
For if the first had been faultless, no place would have been sought for a second.
Hebrews 10:1
For the law having a shadow of good things to come, not the very image of the things, can never with the same sacrifices which they offer year by year continually, make the comers thereunto perfect.
Galatians 2:21
I do not make void the grace of God; for if righteousness is by the law, then Christ died in vain.
Galatians 4:3
So we also, when we were children, were in bondage under the elements of the world.
Colossians 2:10
And ye are filled by him, who is the head of all principality and power.

What

Hebrews 7:26
For such an high priest became us, holy, harmless, undefiled, separated from sinners, and made higher than the heavens:

Another

Hebrews 7:15
And it is still far more evident, because another priest is raised up, after the likeness of Melchidek, Who was made not after the law of a carnal commandment,
Hebrews 5:6
As he saith also in another place, Thou art a priest for ever, after the order of Melchisedeck:
Hebrews 6:20
Whither Jesus our fore-runner is entered for us, made an high-priest for ever after the order of Melchisedek.