Y + 3X = -2 --- (1)
2Y - 3X = 14 --- (2)
Adding (1) to (2), we have:
(Y + 3X) + (2Y - 3X) = -2 + 14
Y + 2Y + 3X - 3X = 12
3Y = 12
Y = 12 / 3
Y = 4
Subtracting twice of (1) from (2), we have:
(2Y - 3X) - 2(Y + 3X) = 14 - 2(-2)
2Y - 3X - 2Y - 6X = 14 + 4
-9X = 18
X = 18 / -9
X = -2
Hence, X = -2 and Y = 4.