Textbook Problem

Lines ${\mathcal{l}}_1$: $\left(x, y, z\right)=\left(2, 0, 3\right)+n\left(2, -3, 5\right)$ and ${\mathcal{l}}_2$: $\left(x, y, z\right)=\left(4, 1, -4\right)+r\left(-1, 2, -4\right)$ intersect at point $P$. Find the coordinates $\left(x, y, z\right)$ of point $P$.