Ordered Triples (Jump to: Lecture | Video )

Remember that two or more equations put together are called Systems of Equations. Below is an example of a System of Equations:

2y = x + 1

3x = 4y - 1

A solution to a system of equations is an ordered pair that works for every equation in the system.

Here is a more complicated system of equations:

2x + y – z = 5

-x + y + z = -3

-2x – y + 2x = 2

The solution to this system of equations is called an ordered triple, and follows the form (x, y, z).

The ordered triple for this equation is (2, 0, -1). We'll work on solving these more complicated systems in later lectures.