- Properties
- Two equations or two systems of equations are equivalent if they have the same set of solutions. The following operations transform an equation or a system into an equivalent one:Adding or subtracting ...

- Identities
- Main articles: Identity (mathematics) and List of trigonometric identitiesAn identity is a statement resembling an equation which is true for all possible values of the variable(s) it contains. Many i ...

- Types of equations
- Equations can be classified according to the types of operations and quantities involved. Important types include:An algebraic equation or polynomial equation is an equation in which both sides are po ...

- Analogous illustration
- A weighing scale, balance, or seesaw is often presented as an analogy to an equation.Each side of the balance corresponds to one side of the equation. Different quantities can be placed on each side: ...

- Parameters and unknowns
- See also: Expression (mathematics)Equations often contain terms other than the unknowns. These other terms, which are assumed to be known, are usually called constants, coefficients or parameters. Usu ...

- Equation
- In mathematics, an equation is a formula of the form A = B, where A and B are expressions that may contain one or several variables called unknowns, and "=" denotes the equality binary relation. Altho ...

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