We know that the law is spiritual; but I am unspiritual, sold as a slave to sin. 1I do not understand what I do. For what I want to do I do not do, but what I hate I do. And if I do what I do not want to do, I agree that the law is good. As it is, it is no longer I myself who do it, but it is sin living in me. For I know that good itself does not dwell in me, that is, in my sinful nature. For I have the desire to do what is good, but I cannot carry it out. For I do not do the good I want to do, but the evil I do not want to do—this I keep on doing. Now if I do what I do not want to do, it is no longer I who do it, but it is sin living in me that does it.
So I find this law at work: Although I want to do good, evil is right there with me. For in my inner being I delight in God's law; but I see another law at work in me, waging war against the law of my mind and making me a prisoner of the law of sin at work within me. What a wretched man I am! Who will rescue me from this body that is subject to death?
Thanks be to God, who delivers me through Jesus Christ our Lord! So then, I myself in my mind am a slave to God's law, but in my sinful nature a slave to the law of sin.
Therefore, there is now no condemnation for those who are in Christ Jesus, because through Christ Jesus the law of the Spirit who gives life has set you free from the law of sin and death. For what the law was powerless to do because it was weakened by the flesh, God did by sending his own Son in the likeness of sinful flesh to be a sin offering. And so he condemned sin in the flesh, in order that the righteous requirement of the law might be fully met in us, who do not live according to the flesh but according to the Spirit.
There is a really easy method to solve a system of equations in matrix form, theoretically speaking. If you multiply both sides of the matrix equation by the inverse of the coefficient matrix, the solution is immediately found. Of course, there is a catch--finding the inverse of the coefficient matrix can be computationally difficult or even impossible. The theoretical value is significant, though. Knowing whether or not a solution exists helps a mathematician decide which method to attempt!
Theoretically, it is also easy to talk about how one can become pure--just "invert" your actions and stop breaking the Law of God. The catch this time is that it is impossible for humans to stop sinning. Paul admits that he is a "sold as a slave to sin." He continues, "For what I want to do I do not do, but what I hate I do." Fortunately for us, Jesus Christ set us free from the law of sin and death. Christ solves the equation for us!