3

Set 17: Systems of Equations (Advanced)

Explanation

Answer: B

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

A.

No

B.

Yes

✓ Correct
C.

Only for the second equation

D.

Cannot be determined

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Choice A is incorrect because the point does satisfy both equations. Choice C is incorrect because the point satisfies both equations, not just the second one. Choice D is incorrect because we can always determine if a point is a solution by direct substitution.

Key Steps:

The correct answer is Yes

Why others are wrong:
A: Choice A 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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