Solving Parametric Equations for the Equation of a Plane

[Erenjaeger]

Homework Statement

parametric equations are
x=s+2t
y=2s+3t
z=3s+4t

trying to solve for equation of the plane and then take the coefficients of the equation to get the vector normal to the plane

Homework Equations

The Attempt at a Solution

apparently t=2x-y
and s=2y-3x
and therefore the equation of the plane is x-2y+z=0
but for me solving the first equation for t just gives t=x-s/2

 

[Mark44]

Homework Statement

parametric equations are
x=s+2t
y=2s+3t
z=3s+4t

trying to solve for equation of the plane and then take the coefficients of the equation to get the vector normal to the plane

Homework Equations

The Attempt at a Solution

apparently t=2x-y
and s=2y-3x
and therefore the equation of the plane is x-2y+z=0
but for me solving the first equation for t just gives t=x-s/2

From your equation of the plane, if it's correct, you can get a normal to the plane by inspection.