Answer:
Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.
Explanation:
Given that:
x-4y = 2
2x+y = 12
For elimination, one of the variable is eliminated.
In this system,
we can either multiplying the first equation by 2 or second equation by 4.
Then we can add the equations.
By multiplying the second equation with 4 and then adding both equations, we can eliminate the variable y.
4(2x+y=12)
8x+4y=48
By adding
(x-4y)+(8x+4y)=2+48
7x=48
Hence,
Option D: Multiply the second equation by 4 and then add the result to the first equation is the correct answer.