2
algebra

Find the intersection of y=2x+1y = 2x + 1 and y=2x+3y = 2x + 3.

A

No solution

B

Infinite solutions

C

(0,1)(0, 1)

D

(1,3)(1, 3)

Correct Answer: A

Choice A is the correct answer. Parallel lines.

  1. Slopes: Both 2.
  2. Intercepts: 1 and 3 (Different).
  3. Result: Parallel lines never intersect.

💡 Strategic Tip:2x+1=2x+3→1=32x+1 = 2x+3 \rightarrow 1=3 (False).

Choice B is incorrect because distinct lines. Choice C is incorrect.Choice D is incorrect.