2
algebra

Convert 0.5x−0.2y=10.5x - 0.2y = 1 to standard form with integer coefficients.

A

5x−2y=105x - 2y = 10

B

5x−2y=15x - 2y = 1

C

50x−20y=150x - 20y = 1

D

2x−5y=102x - 5y = 10

Correct Answer: A

Choice A is the correct answer. Clear decimals.

  1. Multiply by 10: 5x−2y=105x - 2y = 10.
  2. Check: Coefficients are integers (5, -2, 10).

💡 Strategic Tip: Multiply by the power of 10 needed to clear the smallest decimal place.

Choice B is incorrect because it didn't multiply the constant term. Choice C is incorrect because it didn't multiply the constant term correctly. Choice D is incorrect because it swaps coefficients.

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Linear Functions Set 89