How do we know God's remedy for sin is true?

The righteousness of God is manifested apart from the law, as stated in Romans 3:21-22. This righteousness is provided through faith in Jesus Christ, who perfectly fulfilled the requirements of the law on our behalf. Since we cannot establish our own righteousness, we must rely on the righteousness of Christ to be justified before God. His sacrifice and subsequent resurrection demonstrate that salvation is available and that God’s justice is satisfied in Him, confirming the truth of His remedy for our sin.