Question 936776
{{{2/x-3/y=-5}}} 

{{{4/x+6/y=14}}}
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{{{2y/xy-3x/xy=-5}}} 

{{{4y/xy+6x/xy=14}}}
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{{{(2y-3x)/xy=-5}}} 

{{{(4y+6x)/xy=14}}}
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{{{2y-3x=-5xy}}} 

{{{4y+6x=14xy}}}
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{{{2y-3x+5xy=0}}} ...all terms multiply by {{{2}}}

{{{4y+6x-14xy=0}}}
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{{{4y-6x+10xy=0}}}
{{{4y+6x-14xy=0}}}
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{{{4y-cross(6x)+10xy+4y+cross(6x)-14xy=0}}}

{{{8y-4xy=0}}}

{{{4y(2-x)=0}}}

solutions:

find {{{x}}}

if {{{2-x=0}}}=>{{{highlight(x=2)}}}

go to {{{2/x-3/y=-5}}} plug in {{{2}}} for {{{x}}} and find {{{y}}}

{{{2/2-3/y=-5}}} 

{{{1-3/y=-5}}} 

{{{1+5=3/y}}}

{{{6=3/y}}}

{{{6y=3}}}

{{{y=3/6}}}

{{{highlight(y=1/2)}}}


check:

{{{2/2-3/(1/2)=-5}}} =>{{{1-6=-5}}}

{{{4/2+6/(1/2)=14}}}=>{{{2+12=14}}}