When I permutate a,b,c,d,e to the left the value on the right side changes by 1. Can I make some use of this information to solve the following system of equations? I don't really know have to solve it though. $$a + 2b+3c + 4d + 5e =5$$ $$2a+3b+4c+5d+1e =4$$ $$3a+4b+5c+1d+2e =3$$ $$4a+5b+c+2d+3e =2$$ $$5a+b+2c+3d+4e =1$$
2026-05-16 14:10:40.1778940640
System of equations premutations
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Hint: If you add all the equations you get $a+b+c+d+e=1$. If you subtract the first from the second.....