Find parametric equations for the line through the point, that is parallel to the given plane, and perpendicular to the following line.

Given information:

(0,1,2)

x+y+z= 4

x= 1 +t,y= 1 -t,z=2t

x=3s

Need to find:

y = ?

z = ?

Attempt:

x = 3s = 1 + t

t = 3s - 1

y = 1 (3s -1) = 2 - 3s

z = 2 (3s -1) = 6s -1

Not sure where I went wrong, or if I even did this correctly. Thanks in advance for any help or suggestions.