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