Hebrews 7:11

Now if anything final had been really accomplished through the Levitical priesthood, for even the giving of the Law was based upon it, what further need would there have been of appointing a different priest of the priesthood of Melchizedek, instead of choosing one of the priesthood of Aaron?

Hebrews 8:7

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

Galatians 2:21

I refuse to nullify the mercy of God. For if uprightness could be secured through law, then Christ died for nothing!

Hebrews 5:6

For he says in another passage, "You are a priest forever of the priesthood of Melchizedek."

Hebrews 7:17-19

For the psalm bears witness, "You are a priest forever, of the priesthood of Melchizedek!"

Galatians 4:3

So when we were minors, we were slaves to material ways of looking at things,

Galatians 4:9

but now that you know God, or rather have come to be known by him, how can you turn back to the old, crude notions, so poor and weak, and wish to become slaves to them again?

Colossians 2:10-17

and in union with him you too are filled with it. He is the head of all your principalities and dominions.

Hebrews 5:10

since God pronounced him a high priest of the priesthood of Melchizedek.

Hebrews 6:20

where Jesus has gone ahead of us, and become forever a high priest of the priesthood of Melchizedek.

Hebrews 7:15

The point is still more clear in view of the fact that the appointment of the new priest resembles that of Melchizedek,

Hebrews 7:21

for God took no oath in appointing the old priests, but he made oath to his appointment, when he said to him, "The Lord has sworn it and he will not change; You are a priest forever!"

Hebrews 8:10-13

'For this is the agreement that I will make with the house of Israel, In those later days,' says the Lord; 'I will put my laws into their minds, And write them on their hearts, And they will have me for their God, And I will have them for my people.

Hebrews 10:1-4

For while the Law foreshadowed the blessings that were to come, it did not fully express them, and so the priests by offering the same sacrifices endlessly year after year cannot wholly free those who come to worship from their sins.

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
So an earlier regulation is abrogated because it was poor and ineffective
Hebrews 8:7
For if that first agreement had been perfect, there would have been no occasion for a second one.
Hebrews 10:1
For while the Law foreshadowed the blessings that were to come, it did not fully express them, and so the priests by offering the same sacrifices endlessly year after year cannot wholly free those who come to worship from their sins.
Galatians 2:21
I refuse to nullify the mercy of God. For if uprightness could be secured through law, then Christ died for nothing!
Galatians 4:3
So when we were minors, we were slaves to material ways of looking at things,
Colossians 2:10
and in union with him you too are filled with it. He is the head of all your principalities and dominions.

What

Hebrews 7:26
Such a high priest we needed??odly, blameless, unstained, removed from sinful men and raised above the very heavens;

Another

Hebrews 7:15
The point is still more clear in view of the fact that the appointment of the new priest resembles that of Melchizedek,
Hebrews 5:6
For he says in another passage, "You are a priest forever of the priesthood of Melchizedek."
Hebrews 6:20
where Jesus has gone ahead of us, and become forever a high priest of the priesthood of Melchizedek.