Hebrews 7:11

If perfection had been attainable through the Levitical priesthood, for under it the people received the Law, what further need would there have been for another priest to arise after the order of Melchizedek, instead of one named after the order of Aaron?

Hebrews 8:7

If there had been nothing wrong with the first covenant, there would not have been a need for a second one.

Galatians 2:21

I do not reject the grace (totally undeserved gift) of God: for if righteousness is [gained] through the law, then Christ died for nothing.

Hebrews 5:6

As he said in another place: You are a priest forever after the order of Melchizedek.

Hebrews 7:17-19

For it is announced: You are a priest forever according to the order of Melchizedek.

Galatians 4:3

When we were children, we too were held in bondage. We were slaves to the arrangement of this world.

Galatians 4:9

Now that you have come to know God, or rather to be known by God, how is it that you turn back again to the weak and poor fundamental things? Do you want to slave for them all over again?

Colossians 2:10-17

You are made full (complete) (perfect) (mature) in him. He is the head over all government and authority.

Hebrews 5:10

He was called by God to be a high priest according to the order of Melchizedek.

Hebrews 6:20

That is where Jesus has gone as a forerunner on our behalf. He has become a high priest forever after the order of Melchizedek.

Hebrews 7:15

This is clear if another priest arises according to the likeness of Melchizedek,

Hebrews 7:21

He became a priest with an oath when God said to him: Jehovah has sworn and he will feel no regret, you are a priest forever. (Psalm 110:4)

Hebrews 8:10-13

This is the covenant that I will make with the house of Israel after those days,' said Jehovah: 'I will put my teachings (laws) in their mind, I will write them upon their hearts (deep thought) (understanding). I will be their God, and they will be my people. (Jeremiah 31:32)

Hebrews 10:1-4

The Law is a shadow of the good things to come. It is not the actual things. The continual yearly sacrifices can never make those who worship 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?

General references

Bible References

Perfection

Hebrews 7:18
The former commandment was set aside because it was weak and useless.
Hebrews 8:7
If there had been nothing wrong with the first covenant, there would not have been a need for a second one.
Hebrews 10:1
The Law is a shadow of the good things to come. It is not the actual things. The continual yearly sacrifices can never make those who worship perfect.
Galatians 2:21
I do not reject the grace (totally undeserved gift) of God: for if righteousness is [gained] through the law, then Christ died for nothing.
Galatians 4:3
When we were children, we too were held in bondage. We were slaves to the arrangement of this world.
Colossians 2:10
You are made full (complete) (perfect) (mature) in him. He is the head over all government and authority.

What

Hebrews 7:26
Such a high priest as this was suitable for us. He is holy, harmless, undefiled, separated from sinners, and higher than the heavens.

Another

Hebrews 7:15
This is clear if another priest arises according to the likeness of Melchizedek,
Hebrews 5:6
As he said in another place: You are a priest forever after the order of Melchizedek.
Hebrews 6:20
That is where Jesus has gone as a forerunner on our behalf. He has become a high priest forever after the order of Melchizedek.

General references

Numbers 20:26
Remove Aaron's priestly robes and put them on Eleazar. Aaron is going to die there.