Set 4: Systems of Equations

Explanation

Answer: D

Is $(4, 5)$ a solution to the system? $\begin{cases} 2x - y = 3 \\ x + y = 9 \end{cases}$

Only for the second equation

Cannot be determined

Yes

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. Choice A is incorrect because the point satisfies both equations, not just the second. Choice B is incorrect because the point does satisfy both equations. Choice C is incorrect because we can always determine this through substitution.

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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