6

Set 17: Systems of Equations (Intermediate)

Explanation

Answer: A

Is (7,3)(7, 3) a solution to the system? {x2y=13x+4y=33\begin{cases} x - 2y = 1 \\ 3x + 4y = 33 \end{cases}

A.

Yes

✓ Correct
B.

Cannot be determined

C.

No

D.

Only for the second equation

Detailed Explanation

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

Key Steps:

The correct answer is Yes

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