Question 1077589
{{{x=8-2y}}}
As if its ordered pair point is  ( 8-2y, y ).




General point ( 8-2y, y ) to be equally distant from  (3,8) as from  (9,6).


Use of Distance Formula:
{{{sqrt((8-2y-3)^2+(y-8)^2)=sqrt((8-2y-9)^2+(y-6)^2)}}}


{{{(5-2y)^2+(y-8)^2=(-1-2y)^2+(y-6)^2}}}

{{{25-20y+4y^2+y^2-16y+64=4y^2+4y+1+y^2-12y+36}}}


{{{25+64-20y-16y=4y+1-12y+36}}}


{{{89-36y=-8y+37}}}


{{{89-37=36y-8y}}}


{{{52=28y}}}


{{{13=7y}}}


{{{highlight(y=13/7=1&6/7)}}}, 


{{{x=8-2y}}}
{{{x=8-2(13/7)}}}
{{{highlight(x=30/7=4&2/7)}}}