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
How Many Miles to Babylon? How Many Miles to Babylon? "How Many Miles to Babylon" is an English language nursery rhyme. It has a Roud Folk Song Index number of 8148. The accepted modern lyrics are: <poem>How many miles to Babylon? Three score miles and ten. Can I get there by candle-light? Yes, and back again.. If your heels are nimble and your toes are light, You may get there by candle-light.</poem> A longer Scottish version has the lyrics: <poem>King and Queen of Cantelon, How many miles to Babylon? Eight and eight, and other eight. Will I get there by candle-light? If your horse be