If \(P(10a-2, -b)\) divides the line segment joining \(A(4a+1, -3)\) and \(B(9a, 5)\) in the ratio \(3:1\), find the value of \(a\) and \(b\).
 
Answer:
 
The value of \(a\) \(=\)
 
The value of \(b\) \(=\)