Question 258665
Let A be the smaller number, B the larger.
1.{{{A+2B=8}}}
2.{{{2A+B=-6}}}
Multiply the first equation by -2 and add to the second,
{{{-2A-4B+2A+B=-16-6}}}
{{{-3B=-22}}}
{{{B=22/3}}}
Then from eq. 1,
{{{A+2B=8}}}
{{{A=8-2B}}}
{{{A=8-2(22/3)}}}
{{{A=24/3-44/3}}}
{{{A=-20/3}}}