Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 47
2a + 3b + 4c + 5d = 22
3a + 4b + 5c = -17
4a + 5b = 2
5a = 30
+1694 
