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 + e = 15
3a + 4b + 5c + 1d + 2e = 34
4a + 5b + 1c + 2d + 3e = 68
5a + 1b + 2c + 3d + 4e = 57
Use eliminations and substitutions to get:
a=(91 / 15), b=(76 / 15), c= (-59 / 15), d=(-14 / 15), e=(121 / 15)
