One equation, two unknowns. How do I create a table of possible solutions?

I have one equation and two unknowns. How do I create a table of possible solutions?

[John D'Errico]

Infinitely many solutions, so an infinitely long table. You will be better off learning how to parameterize the solutions in a simple formula. Essentially learn the mathematics of how to solve your problem.

Answer 1

[SooShiant]

Here is a simple example which you can change the equation and range and solve yours. The equation is 12x+9y+7z-60=0 where x,y,z are integers varies 0 to 10:

x=[0:1:10];
y=[0:1:10];
z=[0:1:10];
[X,Y,Z]=ndgrid(x,y,z);
F=12.*X+9.*Y+7.*Z-60;
idx=find(F==0);
[X(idx(:)),Y(idx(:)),Z(idx(:))];

Equations of this type are known as Diophantine equations.

Answer 2

[Youssef Khmou]

you have to define the support of the x,y , and you can infinite solutions