How do you know if an ordered pair (5,11) is a solution to y=2x+1?

1 Answer
Ananda Dasgupta
Apr 20, 2018

If you are given a solution to an equation, knowing whether it is a solution is usually a simple matter of substituting it into the equation and checking that both sides match.

Explanation:

Substituting x=color(red)(5), y=color(blue)(11) in

y=2x+1

gives

color(blue)(11) = 2times color(red)(5)+1

This is valid (since both sides equal the same number - 11), and so (5,11) is a solution to y=2x+1

Related questions
See all questions in Graphs in the Coordinate Plane
Impact of this question
2750 views around the world
You can reuse this answer
Creative Commons License