Galatians 3 contrasts the LAW (OC) versus Faith (NC) as Jesus tells people their faith has saved them. As in faith in Christ.
There was no law given which could give life.
Galatians 3
20 Now a mediator does not
mediate for one
only, but God is one.
21
Is the law then against the promises of God? Certainly not! For if there had been a law given which could have given life, truly righteousness would have been by the law. 22
But the Scripture has confined all under sin, that the promise by faith in Jesus Christ might be given to those who believe.
Christ is the mediator of the New Covenant
1 Timothy 2:5
For
there is one God and one
Mediator between God and men,
the Man Christ Jesus,
Hebrews 8:6
But now He has obtained a more excellent ministry, inasmuch as He is also
Mediator of a better covenant, which was established on better promises.
Hebrews 9:15
And for this reason He is the
Mediator of the new covenant, by means of death, for the redemption of the transgressions under the first covenant, that those who are called may receive the promise of the eternal inheritance.
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O foolish Galatians! Who has bewitched you [
a]that you should not obey the truth, before whose eyes Jesus Christ was clearly portrayed [
b]among you as crucified? 2 This only I want to learn from you: Did you receive the Spirit by the works of the law, or by the hearing of faith? 3 Are you so foolish? Having begun in the Spirit, are you now being made perfect by the flesh? 4 Have you suffered so [
c]many things in vain—if indeed
it was in vain?
5 Therefore He who supplies the Spirit to you and works miracles among you,
does He do it by the works of the law, or by the hearing of faith?— 6 just as Abraham “believed God, and it was accounted to him for righteousness.” 7 Therefore know that
only those who are of faith are sons of Abraham. 8 And the Scripture, foreseeing that God would justify the Gentiles by faith, preached the gospel to Abraham beforehand,
saying, “In you all the nations shall be blessed.” 9 So then those who
are of faith are blessed with believing Abraham.
The Law Brings a Curse
10 For as many as are of the works of the law are under the curse; for it is written, “Cursed
is everyone who does not continue in all things which are written in the book of the law, to do them.” 11 But that no one is [
d]justified by the law in the sight of God
is evident, for “the just shall live by faith.” 12 Yet the law is not of faith, but “the man who does them shall live by them.”
13 Christ has redeemed us from the curse of the law, having become a curse for us (for it is written, “Cursed
is everyone who hangs on a tree”), 14 that the blessing of Abraham might come upon the Gentiles in Christ Jesus, that we might receive the promise of the Spirit through faith.