Question: solution to a system of equations


I am plotting a system of equations as follows

restart; with(plots);
sys := {p+x+.6*y-15, p+.3*x+.2*y-10, p+.5*x+y-14};
solve(sys, {p, x, y});
implicitplot3d(sys, x = 0 .. 10, y = 0 .. 10, p = 0 .. 10, shading = zhue, orientation = [-160, 50]);

All is well, but I would llike to see the solution clearly, something along the lines of

How do I set up the spacecurve bit?

Also, I would like to plot the plane formed by the solutions how do I combine that into the plot I already have.




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