1
$\begingroup$

I am trying to solve the following diophantine equation

x*a + y*b == c

where a,b,c are integers and the absolute value of their sums is, for instance, 4. Then I like to plot the results in the x,y plane.

Is it possible with FindInstance or Reduce ? Thanks.

$\endgroup$

closed as off-topic by MarcoB, m_goldberg, user9660, Öskå, Jens Jul 1 '16 at 4:14

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question cannot be answered without additional information. Questions on problems in code must describe the specific problem and include valid code to reproduce it. Any data used for programming examples should be embedded in the question or code to generate the (fake) data must be included." – m_goldberg, Community, Öskå, Jens
If this question can be reworded to fit the rules in the help center, please edit the question.

  • 1
    $\begingroup$ Reduce[{x*a + y*b == c, Abs[a + b + c] == 4}, {x, y}, Integers] returns a result, albeit somewhat complex. Perhaps you could start from there. $\endgroup$ – MarcoB May 29 '16 at 3:40
  • $\begingroup$ What do you mean by "plot the results in the x,y plane"? What kind of plot do you envision? What will be the independent and dependent variable? What parameters? $\endgroup$ – m_goldberg Jun 30 '16 at 0:34