What does the Bible say about the substitutionary atonement of Christ?

The concept of substitutionary atonement is rooted in the biblical narrative, where Christ died in the place of His people, satisfying the demands of God's law. In Luke 23, we see a vivid illustration with Barabbas, a guilty man who is set free while Christ, the innocent one, is condemned. This act symbolizes the ultimate substitution; Christ's death was necessary to redeem those whom the Father had given Him. Isaiah 53 also speaks of how the Lord laid upon Him the iniquity of us all, affirming that Christ suffered for the sins of His elect, achieving redemption through His sacrifice.