If a, b, c are the three consecutive odd numbers, then the line ax-by +c=0 passes through the fixed point

$\begin{array}{l}Leta=p,b=p+2,c=p+4\\ Givenequationax-by+c=0\\ \Rightarrow px-(p+2)y+p+4=0\\ \Rightarrow px-py-2y+p+4=0\\ \Rightarrow (-2y+4)+p(x-y+1)=0\\ Itisoftheform{L}_1+L_2=0\\ L_1=-2y=4=0\Rightarrow y=2\\ L_2=x-y+1=0\\ puty=2in{L}_2=0\\ \Rightarrow x-2+1=0\\ \Rightarrow x=1\\ \therefore (x,y)=(1,2)\end{array}$