Question 1184804
{{{1/x+1/y=1/30}}}

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{{{20(1/x+1/y)+20(1/x)=1}}}

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{{{system(1/x+1/y=1/30,2/x+1/y=1/20)}}}


Equations might be easier to handle if a substitution is made:
{{{u=1/x}}} and {{{v=1/y}}}


{{{system(u+v=1/30,2u+v=1/20)}}}
Elimination Method should be easier this way.

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E2-E1:
{{{u=1/20-1/30}}}

{{{u=3/60-2/60}}}

{{{u=1/60}}}

Back-substituting, {{{1/x=1/60}}}------------{{{highlight(x=60)}}}
and you can solve for y whatever way you want.