Question 610610
{{{8m+2=17}}}..................(1)
{{{m-4n=31}}}..................(2)

Take (1)
{{{8m+2=17}}}..................(1)

{{{8m=17-2}}}


{{{8m=15}}}

{{{m=15/8}}}

Substitute the value of m in (2)
{{{m-4n=31}}}..................(2)
{{{15/8-4n=31}}}
{{{-4n=31-15/8}}}
{{{-4n=(248-15)/8}}}
{{{-4n=233/8}}}
{{{-4n/-4=(233/8)(1/(-4))}}}
{{{(cross(-4)n)/cross(-4)=-233/32}}}
{{{n=-233/32}}}


{{{n=-233/32}}},{{{m=15/8}}}



Check
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Put the values of n and m in (2)

{{{(15/8)-(4)(-233/32)=31}}}
{{{(15/8)-cross(4)(-233/cross(32))=31}}}
{{{(15/8)+(233/8)=31}}}
{{{(15+233)/8=31}}}
{{{cross(248)/cross(8)=31}}}
{{{31=31}}}