Question 187837
Graph both equations of eah system on the same coordinate axes. Use elimination of variables to find all pts of intersection. 

y = x^2 + 5x + 6
y = x + 11 

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Subtract the 2nd equation from the 1st to solve for "x":
0 = x^2 + 4x - 5
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Factor:
(x+5)(x-1) = 0
x = -5 or x = 1
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If x= -5 then y = -5+11 = 6: point of intersection (-5,6)
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If x = 1 then y = 1+11 = 12; point of intersection (1,12)
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{{{graph(400,300,-10,10,-10,20,x^2+5x+6,x+11)}}}
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Cheers,
Stan H.