SOLUTION: What is the points of intersection of these equations y=x+3 x^2+y^2+4x-8y+11

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Question 257977: What is the points of intersection of these equations
y=x+3
x^2+y^2+4x-8y+11

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!



Substitute  for y in the second equation:















Divide every term by 2



Factor:



Use zero-factor principle:

 gives solution 

 gives solution 

Now we must find the value of y for each of these
two values for x.

For  we substitute -2 for x in 







So one solution is (x,y) = (-2,1)

For  we substitute 1 for x in 







So the other solution is (x,y) = (1,4)

Graphically we have this



Edwin


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