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
Linear
equation
A linear equation is an algebraic equation in which each term is
either a constant or the product of a constant and (the
first power of) a single variable.
http://en.wikipedia.org/wiki/Linear_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
Wikipedia, the free encyclopedia and is remixed as allowed under the Creative
Commons Attribution- ShareAlike 3.0 Unported License.