Given data:
The first equation is 3x + 4y = -2 .
The second equation is 2x - 4y = -8.
Add both the equations.
[tex]\begin{gathered} (3x+4y)+(2x-4y)=-2+(-8) \\ 5x=-10 \\ x=-2 \end{gathered}[/tex]Substitute -2 for x in the first equation.
[tex]\begin{gathered} 3(-2)+4y=-2 \\ -6+4y=-2 \\ 4y=4 \\ y=1 \end{gathered}[/tex]Thus, the value of x is -2 and the value of y is 1, so (D) option is correct.