8

Set 15: Linear Functions (Intermediate)

Explanation

Answer: A

Convert y=25x+2y = -\frac{2}{5}x + 2 to standard form.

A.

2x+5y=102x + 5y = 10

✓ Correct
B.

2x+5y=22x + 5y = 2

C.

5x+2y=105x + 2y = 10

D.

2x5y=102x - 5y = 10

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Clear fraction. 1. Multiply by 5: 5y=2x+105y = -2 x + 10. 2. Add 2 x: 2x+5y=102x + 5 y = 10. Strategic Tip: Multiply by the denominator first. Choice B is incorrect because didn't multiply the constant. Choice C is incorrect because swapped coefficients. Choice D is incorrect because sign error.

Key Steps:

The correct answer is 2x+5y=102x + 5y = 10

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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