Question 37860
Okay, the easiest way to graph linear lines is to put them in slope-intercept form, which is {{{y=mx+b}}}

m represents the slope, {{{rise/run}}}
b represents the y-intercept, when x=0

{{{x+y=-5}}}
{{{highlight(y=-x-5)}}}


{{{-2x+y=1}}}
{{{highlight(y=2x+1)}}}


Now, you have two lines, draw them into your graph.

{{{graph(400,400,-10,10,-10,10,-x-5,2x+1)}}}

The answer to your system of equations is where the two lines meet.  
Answer: (-2,-3)

Hope this helps!