To solve this question, we can use the given equation to find the value of (X-Y), and then substitute it into the second equation to find the value of (6X-3Y).
Given: (2X - Y) = 4
To find the value of (X-Y), we can rearrange the equation as follows:
2X - Y = 4
2X = Y + 4
X = (Y + 4)/2
Now, substitute this value of X into the second equation:
(6X - 3Y) = (6*((Y + 4)/2) - 3Y)
(6X - 3Y) = (3Y + 12 - 3Y)
(6X - 3Y) = 12
Therefore, the value of (6X - 3Y) is 12.
Let's go through each option to understand why it is correct or incorrect:
Option A) 15 - This option is incorrect because the value of (6X - 3Y) is 12, not 15.
Option B) 12 - This option is correct because the value of (6X - 3Y) is indeed 12.
Option C) 18 - This option is incorrect because the value of (6X - 3Y) is 12, not 18.
Option D) 10 - This option is incorrect because the value of (6X - 3Y) is 12, not 10.
The correct answer is B) 12. This option is correct because the value of (6X - 3Y) is indeed 12.