Method of successive substitution formula to obtain the solution. Method of successive substitution In modular arithmetic, the method of successive substitution is a method of solving problems of simultaneous congruences by using the definition of the congruence equation. It is commonly applied in cases where the conditions of the Chinese remainder theorem are not satisfied. There is also an unrelated numerical-analysis method of successive substitution, a randomized algorithm used for root finding, an application of fixed-point iteration. The method of successive substitution is also known as back substitution. Consider the simple set of simultaneous congruences Now, for "x" ≡ 3 (mod 4) to be
International History Olympiad assigned to teams for the team events at the Olympiad based on a number of factors, though every effort is made to keep students from the same country or state together. Teams consist of either 2 or 3 students. For team events, if a "mixed" team wins a medal, the medals are credited fractionally on the medals table depending on how many students from a state or country were on the team. After 2016, the Olympiad became a biennial model; Olympiads thus occur in even-numbered years. The location of the 2020 International History Olympiad has yet to be determined, though