8
algebra

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

A

Only for the first equation

B

Cannot be determined

C

Yes

D

No

Correct Answer: C

Choice C is the correct answer. Let's check 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.