SOLUTION: Solve the following system using the method of your choice. Give the two solution sets. Type the solution sets as an ordered pairs using interegers and fractions as needed. Y=(x+2

Algebra ->  Linear-equations -> SOLUTION: Solve the following system using the method of your choice. Give the two solution sets. Type the solution sets as an ordered pairs using interegers and fractions as needed. Y=(x+2      Log On


   

Question 1103883: Solve the following system using the method of your choice. Give the two solution sets. Type the solution sets as an ordered pairs using interegers and fractions as needed.
Y=(x+2)^2
9x+2y=-22
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Intersection of a parabola and a straight line,
Use substitution,
9x%2B2%28x%2B2%29%5E2=-22
9x%2B2%28x%5E2%2B4x%2B4%29=-22
9x%2B2x%5E2%2B8x%2B8=-22
2x%5E2%2B17x%2B30=0
%282x%2B5%29%28x%2B6%29=0
Two solutions:
2x%2B5=0
2x=-5
x=-5%2F2
and
x%2B6=0
x=-6
Now use either equation to solve for the corresponding y value for each x value.
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