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Divide the first by 3 and the second by 2, for starters.

What do you get?

x=4+5z

?? What is that? I was hoping you would get:
x+3y-2z-8=0
2x+3y-7z-4=0

Yes i did

Then i did elimination to get rid of y

Why? Are they parallel?

Yes

We have to figure of if theyre parallel and distinct or coincidentt

its given in the question

so they're not parallel, they intersect ?

That's what they look like to me.

Answer key says parallel and coincident