Question 416996
{{{3y+x=-1 }}}.....1            

{{{x=-3y}}}.........2
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{{{x+3y=-1 }}}.....1 .....solve for {{{y}}}           

{{{3y=-x-1 }}}

{{{y=-(1/3)x-1 }}}


{{{3y=-x}}}.........2

{{{y=-(1/3)x}}}

graph:

{{{ graph( 500, 500, -10, 10, -10, 10, -(1/3)x-1, -(1/3)x) }}}


From the graph, we can see that the two lines are parallel and will {{{never}}} {{{intersect}}}. 

So there are {{{no}}} {{{solutions}}} and the system is {{{inconsistent}}}.