2) { (15x - 3y)/4 + (3x + 2y)/6 = 3, (3x + y)/3 - (x - 3y)/2 = 6.

Multiply the first equation by 12 and the second by 6 to eliminate denominators:

1. $$3(15x - 3y) + 2(3x + 2y) = 36 \\ 45x - 9y + 6x + 4y = 36 \\ 51x - 5y = 36$$
2. $$2(3x + y) - 3(x - 3y) = 36 \\ 6x + 2y - 3x + 9y = 36 \\ 3x + 11y = 36$$
3. Multiply the second simplified equation by 17: $$51x + 187y = 612$$. Subtract the first simplified equation from this: $$(51x + 187y) - (51x - 5y) = 612 - 36 \\ 192y = 576 \\ y = 3$$
4. Substitute $$y=3$$ into $$3x + 11y = 36$$: $$3x + 11(3) = 36 \\ 3x + 33 = 36 \\ 3x = 3 \\ x = 1$$

Solution: $$x=1, y=3$$.