Given the equation of the line `3x-y+z+1=0 and 5x-y+3z=0`. Then,which of the following is correct?

The symmetric equation of lines 3x+2y+z-5=0andx+y-2z-3=0 , is

The equation of the plane passing through the line of intersection of the planes x+y+z+3 =0 and 2x-y + 3z +2 =0 and parallel to the line (x)/(1) = (y)/(2) = (z)/(3) is

The equation of the plane through the line of intersection of the planes 2x+y-z+5=0 and x+2y+3z=4 and perpendicular to the plane 5x+3y+6z=10 is -

For the system of equation 3x + y =1, x - 2y =5 and x-y + 3z +3 =0 , the value of z is

Find the equation of the plane through the line of intersection of the planes 3x-y+z-1=0, 2x+y+3z-7=0 and perpendicular to the plane x-5y+3z=2 .