5
algebra

Convert y=12x+3y = \frac{1}{2}x + 3 to standard form with integer coefficients.

A

x−2y=−6x - 2y = -6

B

x−2y=6x - 2y = 6

C

x+2y=6x + 2y = 6

D

2x−y=−32x - y = -3

Correct Answer: A

Choice A is the correct answer. Eliminate fractions.

  1. Multiply by 2: 2y=x+62y = x + 6.
  2. Rearrange: Subtract 2y2y and subtract 6? Or subtract xx.
  • −x+2y=6-x + 2y = 6.
  • Multiply by -1: x−2y=−6x - 2y = -6.

💡 Strategic Tip: Standard form usually prefers positive AA.

Choice B is incorrect because sign error on constant. Choice C is incorrect because sign error on y. Choice D is incorrect because incorrect multiplication.

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Linear Functions Set 87