Question 614958
{{{3x-2y=-8}}}..........(1)
{{{x+3y=1}}}............(2)
Multiply (2) by 3 and subtract from (1)
{{{cross(3x)-2y=-8}}}
{{{cross(-3x)-9y=-3}}}
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{{{-11y=-11}}} 
{{{cross(-11)y=cross(-11)}}}
{{{y=1}}}
Put the value of y in (2)
{{{x+3y=1}}}............(2)
{{{x+3(1)=1}}}
{{{x+3=1}}}
{{{x=1-3}}}
{{{x=-2}}}

x,y=-2,1


Check
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Put the values of x and y in (1)
{{{3x-2y=-8}}}..........(1)
{{{3(-2)-2(1)=-8}}}
{{{-6-2=-8}}}
{{{-8=-8}}}

Put the values of x and y in (2)
{{{x+3y=1}}}
{{{-2+3(1)=1}}}
{{{-2+3=1}}}
{{{1=1}}}