7
algebra

If 2x+3y=122x + 3y = 12 and 4x+ky=244x + ky = 24 represent the same line, what is kk?

A

66

B

33

C

1212

D

88

Correct Answer: A

Choice A is the correct answer. Proportional coefficients.

  1. Ratio: 4x/2x=24x / 2x = 2.
  2. Apply: 3y×2=6y3y \times 2 = 6y.
  3. Result: k=6k = 6.

💡 Strategic Tip: Multiply the entire first equation by 2.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.