SOLUTION: Find the solution(s) of each system of equations. y=x^2+8x+30 y=5-2x

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Question 1137841: Find the solution(s) of each system of equations.
y=x^2+8x+30
y=5-2x
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=x%5E2%2B8x%2B30......e1.1
y=5-2x+....eq.2
from eq.1 and eq.2 we have
x%5E2%2B8x%2B30=5-2x+........solve for x
x%5E2%2B8x%2B30-5%2B2x+=0
x%5E2%2B10x%2B25+=0
x%5E2%2B10x%2B5%5E2+=0
%28x+%2B+5%29%5E2+=+0%7D%7D%0D%0A%0D%0A=%3Edouble+solution%0D%0A%0D%0A%7B%7B%7Bx=-5

go to y=5-2x+....eq.2, substitute x

y=5-2%28-5%29+
y=5%2B10+
y=15

intersection point is at: (-5,15)