Which of the following is correct to the line  5x+y+3z=0 and 3x−y+z+1=0

The given planes are  5x+y+3z=0 and 3x−y+z+1=0Suppose that the direction ratios of line of intersection of the above two planes is ⟨a,b,c⟩Hence, 3a−b+c=0,5a+b+3c=0⇒a1=b1=c−2To get a point on the line, substitute z=0  in the plane equations and the solve for the other variables hence a point on the  line of intersection of planes is P-18,58,0Therefore, the equation of the required line is x+181=y−581=z−2