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This system is inconsistent. There is no solution.

2x - 3y = 5

-6x + 9y = 12

Multiply the top equation by 3:

6x - 9y = 15

add the two equations together:

6x - 6x - 9y + 9y = 5 + 12

0 = 17

Which is a contradiction. Therefore the lines never intersect, and the solution is the empty set.

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