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3x - y = -4
3x - y = 0
Those lines do not intersect. They are parallel. You can demonstrate by solving either of them for one of the two variables, then plugging it's value into the other:
3x - y = -4
∴y = 3x + 4
Now substitute:
3x - y = 0
∴ 3x - (3x + 4) = 0
∴ 3x - 3x - 4 = 0
∴ -4 = 0
This result is obviously incorrect, indicating that the lines do not intersect.
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