What is the number of ordered pairs (x, y) that are solutions to
4x+5y=2017
where both x and y are positive integers?

Step-by-step explanation:

An ordered pair is a pair of coordinates on a graph that satisfy a particular equation.

From our question, the given equation is

 4x + 5y = 2017

         5y = 2017 -  4x

           y  = (2017 - 4x) / 5

but (x,y) are positive integers meaning that x and y > 0

when x = 1, y = (2017 - 4) /5

                  y = 2013/5

                     =402.6

Hence (x.y) = (1. 402.6) which is not a solution to the equation

when x = 2 , y = (2017 -8) /5

                    y  = 2009/ 5 =  401.8

              (x,y)    = (2, 401.8) which is not a solution to the equation

when x = 3 , y = (2017 - 12)/ 5

                     y = 2005/5 = 401

                (x, y) = (3, 401) which is a solution to the equation

when x =5 , y = (2017 - 20) / 5

                   y = 1997/5 = 399.4

               (x,y) = (5, 399.4) which is not a solution to the equation

what is the graph

step-by-step explanation: