Inspiring Questions from the Sea of Examinations（题海拾贝）

Suppose（假设） that a,b,c,d, and e arenumbers that satisfy this system of three equations. { 13a ＋ 26b＋ 2c＋13d ＋ 3e=18, 6a＋12b＋c＋6d＋e=7,5a＋10 b＋c＋5d＋e=6} 译文：已知方程组： {13a＋ 26b＋ 2c＋13d＋ 3e=18, 6a＋12b＋c＋6d＋e= 7 , 5a＋ 10b＋c＋5d＋e=6.}求e的值．