5
algebra

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

A

(2,3)(2, 3)

B

(3,2)(3, 2)

C

(1,1)(1, 1)

D

(2,5)(2, 5)

Correct Answer: A

Choice A is the correct answer. Substitution.

  1. Equate: 2x−1=−x+52x - 1 = -x + 5.
  2. Add x: 3x−1=53x - 1 = 5.
  3. Add 1: 3x=6→x=23x = 6 \rightarrow x = 2.
  4. Find y: y=2(2)−1=3y = 2(2) - 1 = 3.
  5. Point: (2,3)(2, 3).

💡 Strategic Tip: Check both equations: 3=4−13 = 4-1 (Yes), 3=−2+53 = -2+5 (Yes).

Choice B is incorrect because swapped. Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 94