1102 MrG What is a 3D System -- Sage

var('y,z') solve([x+y-z==-1,4*x-3*y+2*z==16,2*x-2*y-3*z==5],x,y,z)

 $\newcommand{\Bold}[1]{\mathbf{#1}}\left[\left[x = 2, y = \left(-2\right), z = 1\right]\right]$

show(solve(x+y-z==-1,z)) show(solve(4*x-3*y+2*z==16,z)) show(solve(2*x-2*y-3*z==5,z))

 $\newcommand{\Bold}[1]{\mathbf{#1}}\left[z = x + y + 1\right]$ 
 $\newcommand{\Bold}[1]{\mathbf{#1}}\left[z = -2 \, x + \frac{3}{2} \, y + 8\right]$ 
 $\newcommand{\Bold}[1]{\mathbf{#1}}\left[z = \frac{2}{3} \, x - \frac{2}{3} \, y - \frac{5}{3}\right]$

p1=plot3d(x+y-1,(x,-4,4),(y,-4,4),color='red') p2=plot3d(-2*x+3*y/2+8,(x,-4,4),(y,-4,4),color='green') p3=plot3d(2*x/3-2*y/3-5/3,(x,-4,4),(y,-4,4),color='brown') p1+p2+p3

1102 MrG What is a 3D System

2804 days ago by MATH4R2013