5

Set 16: Systems of Equations

Explanation

Answer: D

Is (5,2)(5, 2) a solution to the system? {y=x32x+y=12\begin{cases} y = x - 3 \\ 2x + y = 12 \end{cases}

A.

Cannot be determined

B.

Only for the first equation

C.

No

D.

Yes

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. Choice A is incorrect because we can always determine if a point is a solution by substitution. Choice B is incorrect because the point satisfies both equations, not just the first one. Choice C is incorrect because the point does satisfy both equations.

Key Steps:

The correct answer is Yes

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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