5

Set 9: Linear Equations

Explanation

Answer: C

Solve: 0.2(x−10)+0.5x=0.3(2x+5)0.2(x - 10) + 0.5x = 0.3(2x + 5)

A.

15

B.

5

C.

35

✓ Correct
D.

25

Detailed Explanation

Choice C is correct. Choice C is the correct answer. 1. Distribute: 0.2x−2+0.5x=0.6x+1.50.2x - 2 + 0.5 x = 0.6 x + 1.5 2. Combine: 0.7x−2=0.6x+1.50.7x - 2 = 0.6 x + 1.5 3. Subtract 0.6 x: 0.1x−2=1.50.1x - 2 = 1.5 4. Add 2: 0.1x=3.50.1x = 3.5 5. Divide by 0.1: x=35x = 35 Choice A is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process. Choice D is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 35

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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