3

Set 15: Linear Functions (Intermediate)

Explanation

Answer: A

Which equation is equivalent to y=2x+5y = -2x + 5?

A.

2x+y=52x + y = 5

✓ Correct
B.

2xy=52x - y = 5

C.

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

D.

2x+y=52x + y = -5

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Rearrange. 1. Add 2 x: 2x+y=52x + y = 5. Strategic Tip: Moving a term across the equals sign changes its sign. Choice B is incorrect because sign error on y. Choice C is incorrect because coefficients swapped. Choice D is incorrect because sign error on constant.

Key Steps:

The correct answer is 2x+y=52x + y = 5

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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