How many integer value of x and y are there such that
4x + 7y = 3 where IxI < 500 and IyI < 500?
Any help would be appreciated.
All you need to do is find one solution, and you have all of them for this. Let be a solution to .
Then all other solutions will be of the form:
Where k runs through the integers positive and negative.
So in this case, inspections shows (-1,1) is a solution, so the others are :
I trust that you can take it from here