Since Jewish and Gentile followers of Jesus are now equal members of the family of God and therefore one people, Paul argues that Jesus put an end to the requirement of adherence to the Torah or Law, not only for Gentiles but also for Jews. That means Torah takes a backseat to Jesus—for Jews and Gentiles. Though this does not mean they cannot get circumcised, that faithfulness to God would no longer be defined by abiding by the law (Torah).
Paul does not make a case where Jesus founded a new religion, and in fact he shows to the contrary. Yet he argues that Torahkeeping doesn’t secure anyone’s status before God
So as the topic reads, "Paul, the Pentateuch, the Tanakh: Conflict or reconciliation"?
Shalom Aleichem.
Paul didn't actually eliminate the Mosaic law, he just showed how we can actually follow it, unlike all those who lived prior to Jesus' death and resurrection.
Gal 5:14,
For all the law is fulfilled in one word, [even] in this; Thou shalt love thy neighbour as thyself.
Romans chapters 1:29-32 and 3:10-19 describe the state of the natural man, the man who is not born again, who is saved as per Romans 10:9-10. It's not a pretty picture.
Rom 3:20,
Therefore by the deeds of the law there shall no flesh be justified in his sight: for by the law [is] the knowledge of sin.
Following the law simply did not cut it. Man was simply unable to control himself. True love is simply not in his makeup. He can give to charity, help the poor, tend to the sick, while all good things, it does give him the love of God.
Rom 8:3,
For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh:
It is only through the work of Jesus that we can have that love in our hearts and therefore treat our neighbors in such a way that the Mosaic law becomes irrelevant. Love trumps the law.
Rom 8:4,
That the righteousness of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit.
In much the same way as love, righteousness was simply not available until after Jesus died. When a person is born again they receive the gift of holy spirit. That is, in fact, what the new birth is. God puts holy spirit into each born again believer. At that point the believer can continue to walk the old way, the way of flesh, or they can walk according to the spirit. One leads to death, the other to life (Rom 8:6). When we walk according to the spirit (the scriptures), we will show the love of God to the world and thus fulfill the Mosaic law.
Bottom line, Paul didn't "eliminate" the law. He instead showed how we could actually follow it.