Question 22026: Sole the following system of equation:
y=x^2
y=x+6
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Because this is in the form of "y=___", you can solve this easily by setting the y equal to the y:
Because it is quadratic, set the equation equal to zero:
Factor the trinomial:
There are two solutions:
x= 3, and x = -2
Now you must find y, where  or  , it doesn't matter in this case which.
x=3
y=3^2=9
x=-2
y=(-2)^2 = 4
Points of solution are (3,9) and (-2, 4).
It's a nice place to use a graphing calculator to check the answer. Remember, we are looking for the points of intersection:
Can you see that the graphs cross at (3,9) and (-2,4)?
R^2 at SCC
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