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Don't worry about the answer choice that is highlighted : )

B: {(3,1), (7,9)}

Step-by-step explanation:

For equation 2x-y=5, we can isolate y, so it's easier to solve later:

y = 2x - 5

y = (x - 4)^2

Now, notice that both equations are equal to y, so we can set them equal to each other:

(x-4)^2 = 2x-5

x^2-8x+16 = 2x - 5

x^2-10x+21=0

Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:

(x-3)(x-7)=0

x=3 or x=7

Since B is the only one with the x values of 3 and 7, the answer must be B.

But to further check our answer, we can plug x back to any of the equations above to check for y:

(3-4)^2 = 1

(7-4)^2 = 9

Therefore, we can confirm that the answer is B.

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