Multiply the second equation through by 4: 8x=2y+3 so 2y=8x-3 and 8y=32x-12.
Multiply the first equation through by 2y: 3x-6=8y=32x-12. 29x=6 so x=6/29 and 2y=48/29-3=(48-87)/29=-39/29, so y=-39/58.
The solution seems rather ungainly, so it makes me think that I interpreted the question wrongly or there is a mistake in the question!