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Which is the correct classification of this system of equations?

-2x + y = 7
3y = 6x + 4

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The correct classification of the system of equations is INTERSECTING:

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations.

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User Tero Tolonen
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