Set 6: Systems of Equations

Explanation

Answer: C

Is $(3, 7)$ a solution to the system? $\begin{cases} 2x + y = 13 \\ x - y = -4 \end{cases}$

Only for the first equation

Cannot be determined

Yes

✓ Correct

Detailed Explanation

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

D: Choice D is incorrect and may result from a calculation error.

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