Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a + 2b + 3c + 4d + 5e = 67
2a + 3b + 4c + 5d + e = 49
3a + 4b + 5c + d + 2e = 75
4a + 5b + c + 2d + 3e = 78
5a + b + 2c + 3d + 4e = 66
Use elimination to get:
a = 64/15 and b = 103/15 and c = 58/15 and d = -11/15 and e = 121/15
