The given equation is : -4x + 2y = 6
Divide the equation by 2:
[tex]\begin{gathered} \frac{-4x}{2}+\frac{2y}{2}=\frac{6}{2} \\ -2x+y\text{ =3} \end{gathered}[/tex]
Simplify the exopression for x,
[tex]\begin{gathered} -2x+y=3 \\ 2x\text{ = y -3} \\ x=\frac{y}{2}-\frac{3}{2} \\ x=\frac{1}{2}y-\frac{3}{2} \end{gathered}[/tex]
Answer : D)
