So (a+b)/b = 14/3.
2. Take x=a/(b+c)=b/(a+c)=c/(b+a) as the reciprocal.
Then both sides of (b+c)/a = (a+c)/b are multiplied by ab.
That is, a+b = -c or a = b.
Similarly, b+c = -a or b = C.
C+a = -b or a = c
So x =-1 or 1/2.
3.AB:PB =(AP+BP):BP = AP:BP+ 1 = 8:5
You can also set each copy to x, so AP = 3x BP =5x.
That is AB = 8x.
So AB:BP = 8:5