Question 1051154
You want if possible whole numbered or integer numbered coefficients.


{{{24x-27y=90}}}
{{{8x-9y=30}}}

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{{{6x-28y=20}}}
{{{3x-14y=10}}}

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Simplified system is  {{{system(8x-9y=30,3x-14y=10)}}}.


Your next choice is use either substitution method or elimination method.


{{{-9y=30-8x}}}
{{{y=-30/9+8x/9}}}
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{{{3x-14(30/9+8x/9)=10}}}

{{{3x-14*30/9-14*8x/9=10}}}

{{{27x-14*30-14*8x=90}}}

{{{27x-14*8x=90+14*30}}}

{{{x(27-14*8)=90+420}}}

{{{112x=510}}}

{{{56x=255}}}

{{{x=255/56}}}  or   {{{x=4&31/56}}};   Use this to find y.


{{{y=8x/9-30/9}}}
{{{(8x-30)/9}}}
{{{(8(255/56)-30)/9}}}

{{{(255/7-30)/9}}}

{{{(255/7-210/7)/9}}}

{{{(45/7)/9}}}

{{{(45/(7*9))}}}

{{{y=5/7}}}


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SOLUTION:  {{{system(x=4&31/56,y=5/7)}}}