We have

6x + 5y = 8 . . . (i)

9x - 2y = 31 . . . (ii)

Multiplying (i) by 2 and (ii) by 5, we get

12x + 10y = 16 . . . (iii)

45x - 10y = 155 . . . (iv)

Adding (iii) and (iv), we get

57x = 171

x = 3

Substituting x = 3, in (i), we get

6(3) + 5y = 8

18 + 5y = 8

5y = 8 - 18

5y = - 10

y = - 2

Therefore, x = 3, y = - 2