Question 315697
Subtract eq. 2 from eq. 1 to eliminate y.

{{{y -y= x^2 + 5x + 6- (x + 11)}}}
{{{x^2+4x-5=0}}}
{{{(x+5)(x-1)=0}}}
Two solutions:
{{{x+5=0}}}
{{{x=-5}}}
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{{{x-1=0}}}
{{{x=1}}}
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Then use either equation to find y.
{{{y=x+11}}}
{{{y1=-5+11=6}}}
{{{y2=1+11=12}}}
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(-5,6) and (1,12)
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{{{drawing(300,300,-8,8,-2,14,grid(1),circle(-5,6,.3),circle(1,12,.3),graph(300,300,-8,8,-2,14, x^2+5x+6,x+11))}}}