How we cite our quotes:
Quote #5
If perfection had been attainable through the levitical priesthood—for the people received the law under this priesthood—what further need would there have been to speak of another priest arising according to the order of Melchizedek, rather than one according to the order of Aaron? (Hebrews 7:11, NRSV)
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? (Hebrews 7:11, KJV)
If Jewish law and customs had helped get rid of sin, God wouldn't have needed Jesus. But according to the author, this "old covenant" didn't work very well, so God had to go to Plan B.
Quote #6
Jesus has now obtained a more excellent ministry, and to that degree he is the mediator of a better covenant, which has been enacted through better promises. For if that first covenant had been faultless, there would have been no need to look for a second one. God finds fault with them when he says: "The days are surely coming, says the Lord, when I will establish a new covenant with the house of Israel and with the house of Judah; not like the covenant that I made with their ancestors, on the day when I took them by the hand to lead them out of the land of Egypt; for they did not continue in my covenant, and so I had no concern for them, says the Lord. This is the covenant that I will make with the house of Israel after those days, says the Lord: I will put my laws in their minds, and write them on their hearts, and I will be their God, and they shall be my people. And they shall not teach one another or say to each other, 'Know the Lord,' for they shall all know me, from the least of them to the greatest. For I will be merciful toward their iniquities, and I will remember their sins no more." In speaking of "a new covenant," he has made the first one obsolete. And what is obsolete and growing old will soon disappear. (Hebrews 8:6-13, NRSV)
He obtained a more excellent ministry, by how much also he is the mediator of a better covenant, which was established upon better promises. For if that first covenant had been faultless, then should no place have been sought for the second. For finding fault with them, he saith, Behold, the days come, saith the Lord, when I will make a new covenant with the house of Israel and with the house of Judah: Not according to the covenant that I made with their fathers in the day when I took them by the hand to lead them out of the land of Egypt; because they continued not in my covenant, and I regarded them not, saith the Lord. For this is the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people: And they shall not teach every man his neighbour, and every man his brother, saying, Know the Lord: for all shall know me, from the least to the greatest. For I will be merciful to their unrighteousness, and their sins and their iniquities will I remember no more. In that he saith, A new covenant, he hath made the first old. Now that which decayeth and waxeth old is ready to vanish away. (Hebrews 8:6-13, KJV)
Now we get some quotes from Jeremiah 31:31-34. Naturally, the author thinks these are pointing to Jesus and the "better covenant" that he's come to bring around.