Need help with system
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
Here's a hint to get you started. Add all of the equations together. You should get 15( a+b+c+d+e) = 41+15+34+68+57. Divide both sides by 15. Hope it helps!