SOLUTION: 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 Thanks

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: 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 Thanks      Log On


   

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

Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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%28400%2C300%2C-10%2C10%2C-10%2C20%2Cx%5E2%2B5x%2B6%2Cx%2B11%29
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Cheers,
Stan H.