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 = 57

3a + 4b + 5c + d + 2e = 34

4a + 5b + c + 2d + 3e = 63

5a + b + 2c + 3d + 4e = 15

1 answer

The ordered quintuplet (a,b,c,d,e) that satisfies the system of equations is (2,3,1,4,5).