5. The line \(l _ { 1 }\) has equation \(3 y - 2 x = 30\)
The line \(l _ { 2 }\) passes through the point \(A ( 24,0 )\) and is perpendicular to \(l _ { 1 }\)
Lines \(l _ { 1 }\) and \(l _ { 2 }\) meet at the point \(P\)
- Find, using algebra and showing your working, the coordinates of \(P\).
Given that \(l _ { 1 }\) meets the \(x\)-axis at the point \(B\),
- find the area of triangle \(B P A\).