How to write symmetric equation?

Question

Usually, to write a symmetric equation, I know that we'd isolate the scalar multiple (also known as t) from the parametric equation so that each may equal to one another. However, after solving a system of equations of 2 planes, I am left with this as the parametric equation and don't know how to change it to a symmetric equation:

x = 2

y = s

z = −s + 1

Any ideas?

NOTE: The two equations of the plane were (1) 2x − y + 3z − 1=0 and (2) 4x − 2y + 6z − 2 =0 if that helps in any way.

Answer 1

Hint:

If

$$\begin{align} x&=2,\\ y&=s,\\ z&=-s+1, \end{align}$$

then

$$\begin{align} x-2&=0,\\ y&=s,\\ 1-z&=s. \end{align}$$