Let C be the centroid of the triangle

Let $\mathrm{C}$ be the centroid of the triangle with vertices $(3,-1),(1,3)$ and $(2,4)$. Let $P$ be the point of intersection of the lines $x+3 y-1=0$ and $3 x-y+1=0$. Then the line passing through the points $\mathrm{C}$ and $\mathrm{P}$ also passes through the point :