Ignore parts of an equation with multiple variable in Mathematica

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I want to use the linear version of a somewhat big equation which is outputted by my Mathematica code - For simplicity I will here use the example equation:

Test = 3 x + x y + 8 y

Now, I want to use only the first order term, so that for x that will be 3 and for y that will be 8. I have tried to get those using

Coefficient[Test, x]
Coefficient[Test, y]

However these give me for x:

3+y 

and for y:

8+x

Is there anyway I can use Mathematica to ignore the terms that depend in both xy simultaneously?

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