Tool/solver to resolve a modular equation. A modular equation is a mathematical expression presented in the form of a congruence with at least one unknown variable.

Modular Equation Solver - dCode

Tag(s) : Arithmetics

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In the particular case of **a single unknown** with several equations with **several modulos**, there is the Chinese remainder theorem:

⮞ Go to: Chinese Remainder

A modular equation is an equation (or a system of equation, with at least one unknown variable) valid according to a linear congruence (modulo/modulus). With modulo, rather than talking about equality, it is customary to speak of congruence.

For several modulus equations system (non linear), this is a different calculation that can be solved with the calculator tool solving the Chinese remainders problem available on dCode.

Enter the equation, the variables and the value of the modulo. The value of the modulo is global and applies to all equations.

__Example:__ $$ x+12 \equiv 3 \mod 5 \Rightarrow x = 1 $$

The modular equation solver can not work with inequalities, only the equal sign is accepted to solve the equations.

Enter one equation per line or separate them with operator &&.

It is not necessary to write it ≡ (congruent) so that dCode can solve the equations, the equal sign = is enough.

dCode retains ownership of the online 'Modular Equation Solver' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Modular Equation Solver' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Modular Equation Solver' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Modular Equation Solver' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

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Source : https://www.dcode.fr/modular-equation-solver

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