0
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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