The second equation, -7x-7y=42, is equivalent to x+y=-6 (divide by -7).
So y=-6-x, substitute it to the first equation:
4x - 3(-6-x) = -17,
7x + 18 = -17, 7x = -35, x = -5.
And y = -6-x = -1.
The answer: x=-5, y=-1.
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