(1) : 2x + 3y + 1 = 0
(2) : 3x - 4y - 2 = 0
3 x (1) : 6x + 9y + 3 = 0
2 x (2) : 6x - 8y - 4 = 0
(1) - (2) : 17y + 7 = 0
y = -7/17
(1) : 2x + 3y + 1 = 0
(1) : 2x + 3(-7/17) + 1 = 0
(1) : 2x -21/17 + 1 = 0
(1) : 2x = 21/17 - 17/17
(1) : 2x = 4/17
(1) : x = 2/17