SOLUTION: 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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Question 1195342: Find the point which is equidistant from the x and the y axes and lies on the line x/2+y/3=1
Answer by ikleyn(52781) About Me  (Show Source):
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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%2F2 + x%2F3 = 1,

    %283x%29%2F6%29 + %282x%29%2F6 = 1,

    %285x%2F6%29 = 1,

    x = 6%2F5 = 1.2.


ANSWER.  The sough point is  (x,y) = (1.2,1.2).

Solved.