Find parametric equations and symmetric equations for the line of intersection of the given planes.

Question

x + y + z = 2, x + z = 0

X=1
y =
Z=
x=, y=

Answer 1

let z = t
then x+t = 0
x = -t

into the firs
-t + y +t = 2
y = 2

so
x = -t
y = 2
z = t for parametric

t = x/-1
t = z

symmetric:
x/-1 = z, y = 2