4 Old MacDonald has a paddock in the shape $O A B C$. When drawn on Cartesian axes, the paddock is bounded by the $y$-axis, the $x$-axis and the lines with the equations \[ y=3 x+1 \text { and } y=-5 x+15 \] a Find the coordinates of $A$.

Step 1 ：Find the intersection of the two lines \(y = 3x + 1\) and \(y = -5x + 15\).

Step 2 ：Set the two equations equal to each other: \(3x + 1 = -5x + 15\).

Step 3 ：Solve for x: \(8x = 14\) and \(x = \frac{7}{4}\).

Step 4 ：Substitute the value of x back into either equation to find the value of y: \(y = 3\left(\frac{7}{4}\right) + 1\) and \(y = \frac{25}{4}\).

Step 5 ：\(\boxed{\text{The coordinates of point A are }\left(\frac{7}{4}, \frac{25}{4}\right)}\)