New Covenant (Testament)

Jer 31:31-34
"Behold, the days are coming, says the LORD, when I will make a new covenant with the house of Israel and with the house of Judah-- 32 not according to the covenant that I made with their fathers in the day that I took them by the hand to lead them out of the land of Egypt, My covenant which they broke, though I was a husband to them, says the LORD. 33 But this is the covenant that I will make with the house of Israel after those days, says the LORD: I will put My law in their minds, and write it on their hearts; and I will be their God, and they shall be My people. 34 No more shall every man teach his neighbor, and every man his brother, saying, 'Know the LORD,' for they all shall know Me, from the least of them to the greatest of them, says the LORD. For I will forgive their iniquity, and their sin I will remember no more."
NKJV

Matt 26:27-28
Then He took the cup, and gave thanks, and gave it to them, saying, "Drink from it, all of you. 28 For this is My blood of the new covenant, which is shed for many for the remission of sins.
NKJV

Rom 10:4
For Christ is the end of the law for righteousness to everyone who believes.
NKJV

2 Cor 3:4-6
And we have such trust through Christ toward God. 5 Not that we are sufficient of ourselves to think of anything as being from ourselves, but our sufficiency is from God, 6 who also made us sufficient as ministers of the new covenant, not of the letter but of the Spirit; for the letter kills, but the Spirit gives life.
NKJV

Rom 8:1-6
There is therefore now no condemnation to those who are in Christ Jesus, who do not walk according to the flesh, but according to the Spirit. 2 For the law of the Spirit of life in Christ Jesus has made me free from the law of sin and death. 3 For what the law could not do in that it was weak through the flesh, God did by sending His own Son in the likeness of sinful flesh, on account of sin: He condemned sin in the flesh, 4 that the righteous requirement of the law might be fulfilled in us who do not walk according to the flesh but according to the Spirit. 5 For those who live according to the flesh set their minds on the things of the flesh, but those who live according to the Spirit, the things of the Spirit.
NKJV

Heb 8:7-9
For if that first covenant had been faultless, then no place would have been sought for a second. 8 Because finding fault with them, He says: "Behold, the days are coming, says the LORD, when I will make a new covenant with the house of Israel and with the house of Judah--
NKJV

Heb 12:22-24
But you have come to Mount Zion and to the city of the living God, the heavenly Jerusalem, to an innumerable company of angels, 23 to the general assembly and church of the firstborn who are registered in heaven, to God the Judge of all, to the spirits of just men made perfect, 24 to Jesus the Mediator of the new covenant, and to the blood of sprinkling that speaks better things than that of Abel.
NKJV

Heb 10:8-9
Previously saying, "Sacrifice and offering, burnt offerings, and offerings for sin You did not desire, nor had pleasure in them" (which are offered according to the law), 9 then He said, "Behold, I have come to do Your will, O God." He takes away the first that He may establish the second.
NKJV

Heb 10:26-29
For if we sin willfully after we have received the knowledge of the truth, there no longer remains a sacrifice for sins, 27 but a certain fearful expectation of judgment, and fiery indignation which will devour the adversaries. 28 Anyone who has rejected Moses' law dies without mercy on the testimony of two or three witnesses. 29 Of how much worse punishment, do you suppose, will he be thought worthy who has trampled the Son of God underfoot, counted the blood of the covenant by which he was sanctified a common thing, and insulted the Spirit of grace?
NKJV

Bear in mind what a covenant means.

Hebrew; beriyth (ber-eeth'); (in the sense of cutting ; a compact (because made by passing between pieces of flesh):
This was the original covenant that God made with Abraham in Genesis 15.

Greek; diatheke (dee-ath-ay'-kay); properly, a disposition, i.e. (specially) a contract:

A covenant is an agreement as if signing an agreement, or contract. In this case, a sacred one. Jesus confirmed his covenant with us by his shed blood. He laid down his life for us. Are we willing to do the same for him?
This Old was necessary until the time was right for God to establish his new covenant. The old covenant served its purpose the way it was intended until God sent his son Jesus to finish what God had started. The Jewish people lived according to the Law because that is what God told them to do. But for God to reveal himself to us "Gentiles", he blinded the eyes of Israel to the Messiah that his Goodness would be revealed to us and so that the message of Jesus would be "sent out".