Yahoo Answers 05-20-14
- Author:
- Michael Brown
What are the solutions to the system.. please help?
y=x^2-6x+7
y=-x+13
A. (-1,14) and (6,7)
B. (-1,7) and (6,14)
C. (-1,13) and (6,7)
D. no solution
At the intersection x and y will be the same. These are already solved for y. It's solve by substitution.
-x+13=x^2-6x+7
x^2-5x-6=0
(x-6)(x+1)=0
x-6=0 -->x=6
x+1=0 --> x=-1
-6+13=7
(6,7)
-(-1)+13=14
(-1,14)
it is a straight line and a parabola, there could be 0, 1 or 2 solutions. This one had 2. When in doubt sketch it.