Suppose this equation: F(x,y)=9x+7y-60=0
The range which include just discrete numbers is: -5<x<10 and -5<y<10
All the possible answers in that range are: [x1,y1]=[2,6] and [x2,y2]=[9,-3]
I tried this code to find the answer set but it didn't find anything:
x=[-5:1:10];
y=[-5:1:10];
[X,Y]=ndgrid(x,y);
F=9.*x+7.*y-60;
idx=find(F==0);
[X(idx(:)),Y(idx(:))];
As below, If we change the range the way one of the answers come to first row, MATLAB find just that answer for us:
x=[2:1:10];
y=[6:1:14];
[X,Y]=ndgrid(x,y);
F=9.*x+7.*y-60;
idx=find(F==0);
[X(idx(:)),Y(idx(:))];
So the problem has found now. This code calculates F(xi,yj) just for the first row (i=1), so necessarily the only founded result is in the first row. Therefore we should improve our code the way counter calculates F1,1 to F16,16 then MATLAB search within all 16*16 elements of the F matrix. Now I don't know how to modify my code and want you to help me.
Thanks to you All
