Simultaneous Equations (Codebreaker)

Solve the simultaneous equations, all positive answer, then use that information to break the code on the acrostic sheet.

"During the Second World War Alan Turing worked for the Government code and Cypher School at Bletchley Park Britains codebreaking centre where he was head of hut eight the section responsible for German naval cryptanalysis He devised the bombe a machine that could find settings for the Enigma machine"