Simplify the equation x + 1/2 y = 0 to obtain the value of x.
[tex]x=-\frac{1}{2}y[/tex]Substitute -1/2 y for x in equation x - 3/2y = 4 to obtain the value of y.
[tex]\begin{gathered} -\frac{1}{2}y-\frac{3}{2}y=4 \\ -\frac{4}{2}y=4 \\ y=-2 \end{gathered}[/tex]So value of y for the system of equation is -2.