Question 336322
{{{1/x+1/y=1}}} Start with the given equation.



{{{y+x=xy}}} Multiply EVERY term by the LCD xy to clear out the fractions.



{{{x=xy-y}}} Subtract y from both sides.



{{{x=y(x-1)}}} Factor out the GCF 'y' from the right side.



{{{x/(x-1)=y}}} Divide both sides by {{{x-1}}}.



So the solution is {{{y=x/(x-1)}}}



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