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Explain why it is impossible to solve the following system of equations:

y – 3x = –2

12x – 4y = 8

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The equations are **dependent**: that is to say, one is a multiple of the other (if we multiply the top equation by –4, we get the bottom equation). If we multiply both sides of an equation by a number, we get no new information, so these two equations contain a repeat of the same information.

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