PSAT Math Multiple-Choice Practice Question 348

Correct Answer: C

Explanation:

C

Difficulty: Hard

Category: Number of Possible Solutions

Getting to the Answer: The system has infinitely many solutions, so both equations must describe the same line. Notice that if you multiply the x- and y-coefficients in the second equation by 16, you arrive at the x- and y-coefficients in the first equation. The constant k times 16 must then equal the constant in the first equation, or -32:

Therefore, (C) is correct.