10

Set 5: Linear Equations

Explanation

Answer: B

If 4x16=04x - 16 = 0, what is the value of xx?

A.

64

B.

4

✓ Correct
C.

16

D.

-4

Detailed Explanation

Choice B is correct. Choice Ahoice D is the correct answer. 1. Start with the equation: 4x16=04x - 16 = 0 2. Add 16 to both sides: 4x=0+164x = 0 + 16 3. Simplify: 4x=164x = 16 4. Divide both sides by 4: x=164x = \frac{16}{4} 5. Simplify: x=4x = 4 6. Verify: 4(4)16=1616=04(4) - 16 = 16 - 16 = 0 ✓ Choice Ahoice D is incorrect because this might result from thinking 4(4)=164(-4) = -16, but 1616=32-16 - 16 = -32, not 0. Choice Ahoice C is incorrect because this is the value of 4x4x. You must divide by 4. Choice Ahoice C is incorrect because this results from multiplying 16 by 4: 6464.

Key Steps:

The correct answer is 4

Why others are wrong:
A: Choice A 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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