# Ordered Pair

An ordered pair is a pair of numbers,
$\left(x,y\right)$
, written in a particular order. The ordered pair
$\left(x,y\right)$
is
**
not
**
the same ordered pair as
$\left(y,x\right)$
. An ordered pair is often used to represent a point on a
coordinate plane
or the
solution to an equation
in two variables.

**
Example:
**

Find an ordered pair which is a solution of the equation

$y=x-3$ ,

and plot the point on the coordinate plane.

The ordered pair $\left(5,2\right)$ works, since $2=5-3$ .

(Note that in higher math, an ordered pair doesn't have to be an ordered pair of numbers; you can have ordered pairs of sets, functions, or even ordered pairs!)