# 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!)