37. Exemplar Exercise Problem XVI

If \(P \left( 9a-2 , -b  \right)\)  divides line segment joining \(A \left( 3a+1 , -3 \right)\) and \(B (8a, 5)\) in the ratio \(3:1\), find the values of \(a\) and \(b\).

 

 

The value of a is .