8

Set 4: Linear Functions

Explanation

Answer: A

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

A.

No solution

✓ Correct
B.

Infinite solutions

C.

(0,1)(0, 1)

D.

(1,3)(1, 3)

Detailed Explanation

Choice A is correct. 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+31=32x+1 = 2 x+3 \rightarrow 1=3 (False). Choice B is incorrect because distinct lines. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is No solution

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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