8
algebra

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 Answer: D

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