+346 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=15
3a+4b+5c=34
4a+5b=63
5a=57
+135 5a = 57
a = 11.4
4(11.4) + 5b = 63
45.6 + 5b = 63
5b = 17.4
b = 3.48
3(11.4) + 4(3.48) + 5c = 34
34.2 + 13.92 + 5c = 34
48.12 + 5c = 34
5c = -14.12
c = -2.824
2(11.4) + 3(3.48) + 4(-2.824) + 5d = 15
22.8 + 10.44 - 11.296 + 5d = 15
21.944 + 5d = 15
5d = -6.944
d = -1.3888
11.4 + 2(3.48) + 3(-2.824) + 4(-1.3888) + 5e = 47
11.4 + 6.96 - 8.472 - 5.5552 + 5e = 47
4.3328 + 5e = 47
5e = 42.6672
e = 8.53344
(a, b, c, d, e) = (11.4, 3.48, -2.824, -1.3888, 8.53344)
