1

Set 2: Linear Equations (Intermediate)

Explanation

Answer: B

Solve: 5x+15=405x + 15 = 40

A.

11

B.

5

✓ Correct
C.

25

D.

125

Detailed Explanation

Choice B is correct. Choice C is the correct answer. 1. Start with the equation: 5x+15=405x + 15 = 40 2. Subtract 15 from both sides: 5x=40155x = 40 - 15 3. Simplify: 5x=255x = 25 4. Divide both sides by 5: x=255x = \frac{25}{5} 5. Simplify: x=5x = 5 6. Verify: 5(5)+15=25+15=405(5) + 15 = 25 + 15 = 40 ✓ Choice C is incorrect because this results from adding 15 to 40: 5555, then 55/5=1155 /5 = 11. Wrong inverse operation. Choice D is incorrect because this is the value of 5x5x. You need to divide by 5. Choice D is incorrect because this results from multiplying 25 by 5: 125125.

Key Steps:

The correct answer is 5

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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