Systems of Equations in 3 Variables Intro

Plot the point (2,1,-1) by entering it on the input line. Zoom in/out and rotate the 3D space to get a sense of where this point is located.

Match the x,y and z axes with their appropriate color.

Red =

y z x

Blue =

z x y

Green =

z x y

Create an equation with three variables. Zoom in/out and rotate the 3D space to get a sense of where the 2D plane is located.

Enter the system of equations into the input lines below. Change the color of each plane by clicking the 3 dots, then settings, then color. Lastly, input the solution point and interact with what you have created. Notice how where the three planes intersect is where the solution point is located. [br][br][math]x-y+z=-1[/math][br][br][math]x+y+3z=-3[/math][br][br][math]2x-y+2z=0[/math][br][br]Solution: ([math]4,2,-3[/math])

Information: Systems of Equations in 3 Variables Intro