I can only assume that obedience by faith did indeed bring eternal life
Galatians 3
21Is the law then against the promises of God? God forbid: for if there had been a law given which could have given life, verily righteousness should have been by the law. 22But the scripture hath concluded all under sin, that the promise by faith of Jesus Christ might be given to them that believe.
23But before faith came, we were kept under the law, shut up unto the faith which should afterwards be revealed. 24Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith. 25But after that faith is come, we are no longer under a schoolmaster.
seems pretty plain to me.
Sorry, No one ever received eternal life by keeping the Law. The law was to point to Christ and it was faith in the coming redeemer that brought resurrection.
2 Corinthians 3
5Not that we are sufficient of ourselves to think any thing as of ourselves; but our sufficiency is of God; 6Who also hath made us able ministers of the new testament; not of the letter, but of the spirit: for the letter killeth, but the spirit giveth life.
7But if the ministration of death, written and engraven in stones, was glorious, so that the children of Israel could not stedfastly behold the face of Moses for the glory of his countenance; which glory was to be done away: 8How shall not the ministration of the spirit be rather glorious? 9For if the ministration of condemnation be glory, much more doth the ministration of righteousness exceed in glory. 10For even that which was made glorious had no glory in this respect, by reason of the glory that excelleth. 11For if that which is done away was glorious, much more that which remaineth is glorious.
which glory was to be done away
Notice the word glory is in italics. it could and should read which was to be done away referring to that ministration written and engraven in stones.
The law could not bring eternal life to fallen man.
Stay under the school master if you like.