Question 1195342
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Find the point which is equidistant from the x and the y axes and lies on the line x/2+y/3=1
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The point which is equidistant from the x and y axes has equal coordinates x = y.


So, in equation  x/2 + y/2 = 1, put coordinates equal x = y. You will get then

    {{{x/2}}} + {{{x/3}}} = 1,

    {{{(3x)/6)}}} + {{{(2x)/6}}} = 1,

    {{{(5x/6)}}} = 1,

    x = {{{6/5}}} = 1.2.


<U>ANSWER</U>.  The sough point is  (x,y) = (1.2,1.2).
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Solved.