7
algebra

Which system has NO solution?

A

y=x+1y = x + 1 and y=x2y = x - 2

B

y=xy = x and y=xy = -x

C

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

D

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

Correct Answer: A

Choice A is the correct answer. Parallel distinct lines.

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

💡 Strategic Tip: Same slope, different intercept = No solution.

Choice B is incorrect because intersect at origin. Choice C is incorrect because intersect at origin. Choice D is incorrect because intersect at (2,3)(2,3).