Set 11: Linear Functions (Advanced)

Explanation

Answer: A

Which system has exactly one solution?

$y = 2x$ and $y = 3x$

✓ Correct

$y = 2x$ and $y = 2x + 1$

$y = 2x$ and $2y = 4x$

$x = 2$ and $x = 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Different slopes. 1. Slopes: 2 and 3 (Different). 2. Result: Lines with different slopes ALWAYS intersect at exactly one point. Strategic Tip: Different slopes = One solution. Same slope = 0 or Infinite solutions. Choice B is incorrect because parallel (0 solutions). Choice C is incorrect because coincident (Infinite). Choice D is incorrect because parallel vertical lines.

Key Steps:

•

The correct answer is $y = 2x$ and $y = 3x$

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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