Justified by Faith

Let's say you're accused, convicted and sent to prison for a crime you didn't commit.  Then the real criminal confesses and you're pardoned.  Pardoned?  But you didn't do it!  I mean you're grateful to be set free but you didn't do it!  Now let's take your sin before God which you are guilty of.  Do you think the blood of Christ pardons you?  Actually the blood of Christ does more, but only when you're "Justified by Faith!"