2x + 3y = 1

5x - 2y = 12

(2; - 1)

Step-by-step explanation:

2x + 3y = 1 ... (1)

5x - 2y = 12 ... (2)

mutiply (1) by : 2 and (2) by : 3

4x+6y = 2 ... (*)

15x-6y = 36 ... (**)

now add (*) and (**) : 19x=38 so : x = 38/19 = 2

put this value in (1) : 2 (2) + 3y = 1

3y = 1 - 4

3y = - 3

so : y = - 3/3 = - 1

x=2 y = - 1