Mote In the Eye

What did Jesus do with the woman caught in adultry, the word spoken "go and sin no more" imparted the Life to not do this no more, or have we forgotten that the New Covenant is based upon GODS promise of WHAT HE WILL DO and not us?

"For this is the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people:
And they shall not teach every man his neighbour, and every man his brother, saying, Know the Lord: for all shall know me, from the least to the greatest.
For I will be merciful to their unrighteousness, and their sins and their iniquities will I remember no more." (Heb 8:10-12)
Could someone point out to me were I, me or you, are mentioned as the one fullfilling the promises of the Covenant?

This is why the Gospel is the Goodnews for He comes to us to help us and when God writes His law in our heart, for example to not commit adultry, you will not commit adultry, "go and sin no more." We can only live out what God has worked into us and no more, so instead of beating people up for making wrong choices try and impart the LIFE for them to do this no more, write it upon there hearts.

OH you cant do that you say! Then Its time to take the mote out of your own eye.