+1557 Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a+2b+3c+4d+5e=41
2a+3b+4c+5d = 34
3a+4b+5c =15
4a+5b = 16
5a = 20
+9673 Go from bottom to top:
5a = 20
a = 4
4a + 5b = 16
4(4) + 5b = 16
5b = 0
b = 0
3a + 4b + 5c = 15
3(4) + 4(0) + 5c = 15
5c = 3
c = 3/5
2a + 3b + 4c + 5d = 34
2(4) + 3(0) + 4(3/5) + 5d = 34
5d = 118/5
d = 118/25
a + 2b + 3c + 4d + 5e = 41
4 + 2(0) + 3(3/5) + 4(118/25) + 5e = 41
5e = 408/25
e = 408/125
