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**skeske1234** State whether each of the following pairs of planes intersect. If the planes do intersect, determine the eqtn of their line of intersection.

x-y+z-2=0

2x+y+z-4=0

my work:

eqtn 1 + eqtn 2

3x+2z-6=0

x=-2/3t +2

let z=t

-2/3t + 2 -y + t -2 =0

y=1/3 t

z=t

therefore parametric equation of line is:

x=2- 2/3 t

y=1/3 t

z=t

However, the answer in the back of the book has:

x=2-2t

y=t

z=3t

How do I get this answer? i think there's just one step I am missing to convert it to that that I am not getting.