What is the sum of all positive integer solutions less than or equal to 20 to the congruence 13(3x-2) == 26 - x (mod 8)?
+118609 What is the sum of all positive integer solutions less than or equal to 20 to the congruence 13(3x-2) == 26 - x (mod 8)?
13(3x-2) == 26 - x (mod 8)?
26-x (mod8) == 2-x (mod8)
13(3x-2) mod8 == 5(3x-2) (mod8) == 15x-10 (mod8) == -x-2 (mod8) == -2-x (mod 8)
So it doesn't like like there are any values of x.
I designed a little excel table to check
