9
algebra

Which system has exactly one solution?

A

y=2xy = 2x and y=3xy = 3x

B

y=2xy = 2x and y=2x+1y = 2x + 1

C

y=2xy = 2x and 2y=4x2y = 4x

D

x=2x = 2 and x=3x = 3

Correct Answer: A

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.