What does the Bible say about the relationship between law and grace?

Throughout the scriptures, particularly in Galatians, there's a clear distinction made between law and grace. The law demands perfect obedience, as seen in James 2:10, where it states that failing in any point makes one guilty of all. On the other hand, grace, as presented in Ephesians 2:8-9, offers salvation freely, apart from works. The law reveals our sinfulness and leads to condemnation, while grace provides hope and victory through faith in Jesus Christ. In relying on the law, we risk falling from grace (Galatians 5:4), as faith and law are mutually exclusive.