Screen

FullSimplify[Solve[{(Y - By)/(Oy - By) == (X - Bx)/(Ox - Bx) == (Z - Bz)/-Bz, (Y - Sy)/(X - Sx) == -Ox/Oy}, {X, Y, Z}]]

FullSimplify[Solve[{(Y - By)/(Oy - By) == (X + Bx)/(Ox + Bx) == (Z - Bz)/-Bz, (Y - Sy)/(X - Sx) == -Ox/Oy}, {X, Y, Z}]]