SOLUTION: What is the solution of the linear quadratic system of equations? y=x^2+10x+22 y=x+2

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Question 695827: What is the solution of the linear quadratic system of equations?
y=x^2+10x+22
y=x+2
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Set the equations equal to each other and solve for x
x%5E2+%2B+10x+%2B+22+=+x+%2B+2
...
x%5E2+%2B+10x+-+x+%2B+22+-+2+=+0
...
x%5E2+%2B+9x+%2B+20+=+0
(x+5)(x+4)=0
x = -5
x = -4
...
When x = -5, solve for y
y = -5 + 2 = -3
When x = -4, solve for y
y = -4 + 2 = -2
...
Two solutions are (-5,-3) and (-4,-2)
...
graph%28300%2C200%2C-8%2C2%2C-5%2C2%2Cx%5E2%2B10x%2B22%2Cx%2B2%29
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