Table Of Ordered Pairs: Substitution | Algebra | Maths | FuseSchool

In this video we’re going to look at how to use substitution in equations to generate a table of ordered pairs. Ordered pairs (coordinates) can be used to solve equations, to plot graphs, and so we come across them a lot in Maths. You should already know how to substitute into equations, and how to solve simple equations. We have this relationship y = 3x + 1. The value of ‘y’ depends on what the value of ‘x’ is. So if ‘x’ is 2, then y is 7. This can be written an (2, 7). We can generate a table of values by substituting in different values of 'x' and finding the corresponding 'y' values. Once we've generated a table of values, we can then write out the values as ordered pairs: (0, 1) (1, 4) (2, 7) (3, 10). Always write the ‘x’ value before the ‘y’ value (x, y) and not (y, x). The ‘x’ and ‘y’ are both known as variables, because they aren’t set values. They vary. Even more specifically, we call the ‘x’ the INDEPENDENT variable, because we can choose any value of ‘x’ randomly or independently. But the ‘y’ is known as the ‘DEPENDENT’ variable. Y depends upon the value of ‘x’. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Twitter: Access a deeper Learning Experience in the FuseSchool platform and app: Friend us: This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: Click here to see more videos:

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