An equation is a
mathematical statement that asserts the equality of two expressions. Equations
consist of the expressions that have to be equal on opposite sides of an equal
sign as in
(Our solved example in mathguru.com uses
this concept)
Properties
If an equation in algebra is known to be true, the following
operations may be used to produce another true equation:
1. Any
real number can be added to both sides.
2. Any
real number can be subtracted from both sides.
3. Any
real number can be multiplied to both sides.
4. Any
non-zero real number can divide both sides.
http://en.wikipedia.org/wiki/Equation
Equation solving
In mathematics, to solve an equation is to find what values
(numbers, functions, sets, etc.) fulfill a condition stated in the form of an equation (two expressions related by equality). These expressions
contain one or more unknowns, which are free variables for which values are sought that cause the condition to be
fulfilled. (Our solved example in
mathguru.com uses this concept)
To be
precise, what is sought are often not necessarily actual values, but, more in
general, mathematical expressions. A solution of the equation is an
assignment of expressions to the unknowns that satisfies the equation; in other
words, expressions such that, when they are substituted for the unknowns, the equation
becomes a tautology (a provably true statement).
http://en.wikipedia.org/wiki/Equation_solving
The above explanation is copied from
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