Problem #$4$ Gauss' Lawr Slabs and Sheets.

Two infinite non$-$conducting sheets of charge and one infinite conducting slab are place perpendicularly to the $x-$direction as shown in the figure.

The conducting slab is electrically neutral.

The charge densities on the two sheets are:

${}_1=+15\frac{C}{m^2}$ and ${}_2=-8\frac{C}{m^2}.$

Determine the net electric field at point $B.$

What is the induced surface charge density on the right side of the conductor, ${}_R?$