SOLUTION: GRAPH BOTH EQUATIONS OF THE SYSTEM ON THE SAME COORDINATE AXES. USE ELIMINATION OF VARIABLES TO FIND ALL POINTS OF INTERSECTION. y = x^2 + 5x + 6 y = x + 11

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: GRAPH BOTH EQUATIONS OF THE SYSTEM ON THE SAME COORDINATE AXES. USE ELIMINATION OF VARIABLES TO FIND ALL POINTS OF INTERSECTION. y = x^2 + 5x + 6 y = x + 11      Log On


   

Question 315697: GRAPH BOTH EQUATIONS OF THE SYSTEM ON THE SAME COORDINATE AXES. USE ELIMINATION OF VARIABLES TO FIND ALL POINTS OF INTERSECTION.
y = x^2 + 5x + 6
y = x + 11
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Subtract eq. 2 from eq. 1 to eliminate y.
y+-y=+x%5E2+%2B+5x+%2B+6-+%28x+%2B+11%29
x%5E2%2B4x-5=0
%28x%2B5%29%28x-1%29=0
Two solutions:
x%2B5=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%2B11
y1=-5%2B11=6
y2=1%2B11=12
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(-5,6) and (1,12)
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