This is a nice draw

ContourPlot3D[{x y - z, 2 x + 3 y - 5}, {x, 0, 3}, {y, 0, 3}, {z, 0, 
  2}, ContourStyle -> {Automatic, Opacity[0.4]}, Mesh -> None, 
 BoundaryStyle -> {2 -> None, {1, 2} -> {Red, Thickness[.01]}}, 
 Boxed -> False, Axes -> True]

which gives enter image description here

Now I would like to change the color and add transparency to the front part of the 3D surface, and draw dashed lines to represent projections on the 3 axes.

Thanks for the help.

  • 1
    $\begingroup$ Like this? $\endgroup$ – J. M. is away Mar 25 '17 at 11:22
  • $\begingroup$ J.M. I am interested by the way you do this but in fact I would like to keep the frontal aspect of the surface. And by the way how to add the projections $\endgroup$ – cyrille.piatecki Mar 25 '17 at 14:22
  • $\begingroup$ OK, I don't understand what "frontal aspect of the surface" is supposed to mean, at all. I interpreted your "change the color and add transparency to the front part of the 3D surface" to mean that the front part of the saddle cut off by the plane would be transparent (that can be accomplished via MeshShading). As for projections, you want shadows of these two surfaces, or just the parabola formed by the intersection? $\endgroup$ – J. M. is away Mar 25 '17 at 15:32
  • $\begingroup$ Sorry I must not be enough clear. I want the front part of the surface that is the one which is more or less inside the surface delimited by the axes x and y to be transparent to be able to see some dashed lines from the maximum to the axes $\endgroup$ – cyrille.piatecki Mar 25 '17 at 17:52

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