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viktelen [127]
3 years ago
11

What are the ordered pairs of the

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

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

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

when x= -1  then  y=-(-1)+5=6

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

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