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#

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