Question 1096187
<font color="black" face="times" size="3">{{{x/y=y/x}}}


{{{x*x=y*y}}} Cross multiply


{{{x^2 = y^2}}}


{{{x^2 - y^2 = 0}}}


{{{(x-y)(x+y) = 0}}} Difference of Squares factoring rule


{{{x-y=0}}} or {{{x+y = 0}}}


{{{x=y}}} or {{{x = -y}}}


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The solutions are: {{{x=y}}} or {{{x = -y}}}


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