You can put this solution on YOUR website! 1) parallel because they have the same slope, 2.
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2)
3x+y=5
-x+3y=6
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y=-3x+5
3y=x+6, y=x/3 + 2
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They are perpendicular because the slope of one is the negative reciprocal of the other.
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3)
3x+y=5
x+y=3
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y=-3x+5
y=-x+3
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Neither.
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Ed