What are the ordered pairs of the solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -x + 5
(2, [?]); ([ ], [])

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:

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  

when x= -1  then  

Then the two points solutions to the system of equations are: (2, 3) and (-1,6)

16 is the coefficient

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