8

Set 5: Linear Equations (Intermediate)

Explanation

Answer: C

Solve: 8x+16=328x + 16 = 32

A.

16

B.

6

C.

2

✓ Correct
D.

128

Detailed Explanation

Choice C is correct. Choice Ahoice C is the correct answer. 1. Start with the equation: 8x+16=328x + 16 = 32 2. Subtract 16 from both sides: 8x=32168x = 32 - 16 3. Simplify: 8x=168x = 16 4. Divide both sides by 8: x=168x = \frac{16}{8} 5. Simplify: x=2x = 2 6. Verify: 8(2)+16=16+16=328(2) + 16 = 16 + 16 = 32 ✓ Choice Ahoice C is incorrect because this results from adding 16 to 32: 4848, then 48/8=648 /8 = 6. Wrong inverse operation. Choice Ahoice D is incorrect because this is the value of 8x8x. You need to divide by 8. Choice Ahoice B is incorrect because this results from multiplying 16 by 8: 128128.

Key Steps:

The correct answer is 2

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