yet knowing that a man is not justified by the works of the law but through faith in Jesus Christ, even we believed in Christ Jesus, that we might be justified by faith in Christ, and not by the works of the law, because no flesh will be justified by the works of the law.

We maintain therefore that a man is justified by faith apart from the works of the law.

Because by the works of the law, no flesh will be justified in his sight. For through the law comes the knowledge of sin.

For if Abraham was justified by works, he has something to boast about, but not toward God.

Now that no man is justified by the law before God is evident, for, "The righteous will live by faith."

For we have all become as one who is unclean, and all our righteousness is as a polluted garment: and we all fade as a leaf; and our iniquities, like the wind, take us away.

Now to him who works, the reward is not counted as grace, but as something owed. But to him who doesn't work, but believes in him who justifies the ungodly, his faith is accounted for righteousness. Even as David also pronounces blessing on the man to whom God counts righteousness apart from works,read more.
"Blessed are they whose iniquities are forgiven, whose sins are covered. Blessed is the man whom the Lord will by no means charge with sin."

but Israel, following after a law of righteousness, didn't arrive at the law of righteousness.

I ask then, did God reject his people? May it never be! For I also am an Israelite, a descendant of Abraham, of the tribe of Benjamin. God didn't reject his people, which he foreknew. Or don't you know what the Scripture says about Elijah? How he pleads with God against Israel: "Lord, they have killed your prophets, they have broken down your altars; and I am left alone, and they seek my life."read more.
But how does God answer him? "I have reserved for myself seven thousand men, who have not bowed the knee to Baal." Even so then at this present time also there is a remnant according to the election of grace. And if by grace, then it is no longer of works; otherwise grace is no longer grace. But if it is of works, it is no longer grace; otherwise work is no longer work.

for by grace you have been saved through faith, and that not of yourselves; it is the gift of God, not of works, that no one would boast.

But when the kindness of God our Savior and his love toward mankind appeared, not by works of righteousness, which we did ourselves, but according to his mercy, he saved us, through the washing of regeneration and renewing by the Holy Spirit,