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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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