Report error: Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations:
a + 2b + 3c + 4d + 5e = 10
2a + 3b + 4c + 5d + e = 20
3a + 4b + 5c + d + 2e = 30
4a + 5b + c + 2d + 3e = 40
5a + b + 2c + 3d + 4e = 50
a) (1, 2, 1, 2, 3)
b) (2, 3, 4, 5, 6)
c) (3, 4, 5, 6, 7)
d) (4, 5, 6, 7, 8)
