Question

What is the solution of the system?

Answer 1

3x +2y= 11 ----1
x -2 = -4y   ---- 2

Equation 2 times by 3
3x -6 = -12y

Subracting 2-1
3x-6=-12y
3x-11=-2y

Leaving 
5=-10y
y= -1/2

Hence 
B. is the solution

PS, If you rate this as "Brainiest" that would be most appreciated

Answer 2

X - 2 = -4y
x = -4y + 2
Now, substitute the value of x in first equation, 
3(-4y+2) + 2y = 11
-12y + 6 + 2y = 11
-10y = 5
y = -1/2

Now, substitute the value of y in 2nd equation, 
x = -4(-1/2) + 2
x = 2 + 2 = 4

In short, Your Answers are x = 4 and y = -1/2, Which is Option B

Hope this helps!