Solution:

We are given two equations:

9x - 3y = 12 ...(1)
3x - 5y = 7 ...(2)

We need to find the value of 6x - 2y, which can be obtained by manipulating the given equations.

Method 1: Elimination method

Multiplying equation (2) by 3 and equation (1) by -1, we get:

-9x + 15y = -21 ...(3)
-9x + 3y = -12 ...(4)

Adding equations (3) and (4), we get:

12y = -33

y = -33/12

Substituting this value of y in equation (1), we get:

9x - 3(-33/12) = 12

9x + 11/4 = 12

9x = 41/4

x = 41/36

Therefore, 6x - 2y = 6(41/36) - 2(-33/12) = 41/6 + 11/2 = 83/6 = 13.83

Therefore, the correct option is not given in the choices.

Method 2: Substitution method

Solving equation (2) for x, we get:

x = (7 + 5y)/3

Substituting this value of x in equation (1), we get:

9(7 + 5y/3) - 3y = 12

21 + 15y - 9y = 36

6y = 15

y = 2.5

Substituting this value of y in equation (2), we get:

x = (7 + 5(2.5))/3 = 4

Therefore, 6x - 2y = 6(4) - 2(2.5) = 24 - 5 = 19

Therefore, the correct option is not given in the choices.

Hence, we can conclude that none of the given options is the correct answer.