Maple programming questions are better suited to stackoverflow.com
or www.mapleprimes.com .
You can play around with the options for color, transparency, etc.
restart;
f := x*w - z:
g := -z^2-w+x+2*z-1:
Op := 5*x-4-4*z+3*w:
A := map(solve, [f=0, g=0, Op=0], w);
A := [z/x, -z^2+x+2*z-1, 4/3-5*x*(1/3)+4*z*(1/3)]
S1:=solve(A[1]=A[3]):
C1 :=eval([x,z,A[1]], S1);
C1 := [x, x*(5*x-4)/(4*x-3), (5*x-4)/(4*x-3)]
S2 := solve(A[2]=A[3]):
C2 :=eval([x,z,A[2]], S2);
C2 := [3/8*(z^2)-(1/4)*z+7/8, z, -5/8*(z^2)+7/4*z-1/8]
plots:-display(
plot3d(A[1], x=0..2, z=0..2, view=0..2, plotlist, color = red,
transparency=0.8),
plot3d(A[2], x=0..2, z=0..2, view=0..2, plotlist, color = blue,
transparency=0.8),
plot3d(A[3], x=0..2, z=0..2, view=0..2, plotlist, color = "#909090",
transparency=0.2, style=surface),
plots:-spacecurve( C1, x=0..2, color="#b00000", thickness=3),
plots:-spacecurve( C2, z=0..2, color="#0000b0", thickness=3),
lightmodel=none,
view=[0..2,0..2,0..2]
);
