On a piece of paper, graph this system of equations. y = x – 2 y = x2 – 5x + 6 Then determine which answer choice matches the graph you drew and identify the solutions to the system.
A. Solutions: (2, 0) and (3, –1)
B. Solutions: (2, 0) and (3, 0)
C. Solutions: (2, 0) and (5, 3)
D. Solutions: (2, 0) and (4, 2)

For this case we have the following system of equations:

Matching we have:

We manipulate algebraically:

To factor, we look for two numbers that, when multiplied, result in +8 and when added, result in -6. These numbers are -4 and -2.

Thus, we have to:

We find the values of the variable y:

So the solutions are:

(4,2) and (2,0)

Option D

See attached image

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step-by-step explanation: