Question

Which ordered pair is a solution to the following:

Answer 1

Answer:

Option B: Only (-2, 9)

Step-by-step explanation:

Given the linear equation, y = -2x + 5:

We'll plug in the given options to see which of the ordered pairs will satisfy the equation:

Substitute option  A: (2, -9) into the equation:

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1 (False statement). Therefore, (2, -9) is not a solution.

Substitute option B: (-2, 9) into the equation:

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9 (True statement). Therefore, the ordered pair, (-2, 9) is a solution.

The other two options are irrelevant at this point since we've proven that option B is the correct answer.

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