Answer:
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Answer:
(2,-5)
Step-by-step explanation:
Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
![x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0](https://tex.z-dn.net/?f=x%5E2-2x%2B3%3D-x%2B5%5C%5Cx%5E2-2x%2Bx%2B3-5%3D0%5C%5Cx%5E2-x-2%3D0%5C%5C%28x-2%29%28x%2B1%29%3D0)
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then ![y=-(2)+5=3](https://tex.z-dn.net/?f=y%3D-%282%29%2B5%3D3)
when x= -1 then ![y=-(-1)+5=6](https://tex.z-dn.net/?f=y%3D-%28-1%29%2B5%3D6)
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
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