How can God justify the ungodly without compromising His justice?

The question of how God can justify the ungodly while remaining just is at the heart of the gospel. It is resolved through the work of Christ, who bore the sins of His people on the cross. By dying in their place, He satisfies God's justice concerning sin. God imputes Christ’s righteousness to believers, allowing them to be declared not guilty without compromising His holy nature. This showcases God’s attributes of justice and mercy working in perfect harmony, for He remains just while mercifully justifying those who believe in His Son.