Set 7: Linear Functions (Intermediate)

Explanation

Answer: A

If $2x + 3y = 12$ and $4x + ky = 24$ represent the same line, what is $k$ ?

$6$

✓ Correct

$3$

$12$

$8$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Proportional coefficients. 1. Ratio: $4x / 2 x = 2$ . 2. Apply: $3y \times 2 = 6 y$ . 3. Result: $k = 6$ . Strategic Tip: Multiply the entire first equation by 2. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $6$

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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