Respuesta :

The answer is (2,9)
Let's check choice A

Plug in (x,y) = (2,9)
In other words, replace x with 2 and y with 9

y = 2x+5
9 = 2*2+5
9 = 4+5
9 = 9

The equation is true, so choice A is the answer.

Let's check the others just for the sake of completeness
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Let's check choice B

Plug in (x,y) = (0,2)

y = 2x+5
2 = 2*0+5
2 = 0+5
2 = 5

The equation is false, so choice B can be ruled out

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Let's check choice C

Plug in (x,y) = (4,9)

y = 2x+5
9 = 2*4+5
9 = 8+5
9 = 13

Like with choice B, this is also false. So we can cross this off the list
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Let's check choice D

Plug in (x,y) = (2,7)

y = 2x+5
7 = 2*2+5
7 = 4+5
7 = 9

False, so choice D is ruled out as well
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Final Answer: Choice A) (2,9)