Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a+2b+3c+4d+5e=1
2a+3b+4c+5d+e=2
3a+4b+5c+d+2e=3
4a+5b+c+2d+3e=4
5a+b+2c+3d+4e=5
By inspection ( a,b,c,d,e) = (1,0,0,0,0)
+1348 
