The Scripture shows the difference between the righteousness of the law, and that of faith;

10:1 Brothers, my heart’s desire and my prayer to God is for Israel, that they may be saved.

10:2 For I testify about them that they have a zeal for God, but not according to knowledge.

10:3 For being ignorant of God’s righteousness, and seeking to establish their own righteousness, they didn’t subject themselves to the righteousness of God.

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

10:5 For Moses writes about the righteousness of the law, “The one who does them will live by them.”*

10:6 But the righteousness which is of faith says this, “Don’t say in your heart, ‘Who will ascend into heaven?’* (that is, to bring Christ down);

10:7 or, ‘Who will descend into the abyss?’* (that is, to bring Christ up from the dead.)”

10:8 But what does it say? “The word is near you, in your mouth, and in your heart;”* that is, the word of faith, which we preach:

Isaiah 59:21

10:9 that if you will confess with your mouth that Jesus is Lord, and believe in your heart that God raised him from the dead, you will be saved.

10:10 For with the heart, one believes unto righteousness; and with the mouth confession is made unto salvation.

and that all, both Jew and Gentile, that believe, shall not be confounded;

10:11 For the Scripture says, “Whoever believes in him will not be disappointed.”*

10:12 For there is no distinction between Jew and Greek; for the same Lord is Lord of all, and is rich to all who call on him.

10:13 For, “Whoever will call on the name of the Lord will be saved.”*

10:14 How then will they call on him in whom they have not believed? How will they believe in him whom they have not heard? How will they hear without a preacher?

10:15 And how will they preach unless they are sent? As it is written:
“How beautiful are the feet of those who preach the Good News of peace,
who bring glad tidings of good things!”*

10:16 But they didn’t all listen to the glad news. For Isaiah says, “Lord, who has believed our report?”*

Isaiah 29:13

10:17 So faith comes by hearing, and hearing by the word of God.

Hebrews 11:1

and that the Gentiles shall receive the word and believe.

10:18 But I say, didn’t they hear? Yes, most certainly,
“Their sound went out into all the earth,
their words to the ends of the world.”*

Israel was not ignorant of these things.

10:19 But I ask, didn’t Israel know? First Moses says,
“I will provoke you to jealousy with that which is no nation,
with a nation void of understanding I will make you angry.”*

10:20 Isaiah is very bold, and says,
“I was found by those who didn’t seek me.
I was revealed to those who didn’t ask for me.”*

Isaiah 65:1

10:21 But as to Israel he says, “All day long I stretched out my hands to a disobedient and contrary people.”*