How does Christ's work fulfill the Old Testament prophecies?

Throughout the Old Testament, numerous prophecies point to a coming Messiah who would cleanse sins and restore fellowship with God. In Luke 24, Jesus emphasizes that all things written in the Law, Prophets, and Psalms concerning Him must be fulfilled, illustrating that He is the culmination of God’s redemptive story. From the prophetic declarations in Genesis about the seed of the woman to Isaiah's clear delineations of the suffering servant, every aspect of the Old Testament ultimately finds completeness in Christ. The fulfillment of these prophecies through His life, death, and resurrection substantiates that He is indeed the promised Savior, giving assurance to believers of God's sovereign plan.