Set 12: Linear Functions (Advanced)

Explanation

Answer: A

Find the intersection of $y = 2x - 1$ and $y = -x + 5$ .

$(2, 3)$

✓ Correct

$(3, 2)$

$(1, 1)$

$(2, 5)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Substitution. 1. Equate: $2x - 1 = -x + 5$ . 2. Add x: $3x - 1 = 5$ . 3. Add 1: $3x = 6 \rightarrow x = 2$ . 4. Find y: $y = 2(2) - 1 = 3$ . 5. Point: $(2, 3)$ . Strategic Tip: Check both equations: $3= 4-1$ (Yes), $3= -2+5$ (Yes). Choice B is incorrect because swapped. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $(2, 3)$

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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