7

Set 7: Linear Equations (Advanced)

Explanation

Answer: D

If 4x+15=9x104x + 15 = 9x - 10, what is the value of xx?

A.

1

B.

25

C.

2

D.

5

✓ Correct

Detailed Explanation

Choice D is correct. Choice D is the correct answer. 1. Subtract 4 x: 15=5x1015= 5 x - 10 2. Add 10: 25=5x25= 5 x 3. Divide by 5: 5=x5= x 4. Verify: 4(5)+15=354(5) + 15 = 35 and 9(5)10=359(5) - 10 = 35 ✓ Choice C is incorrect because it results from an error in the solution process. Choice B is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process.

Key Steps:

The correct answer is 5

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.
C: Choice C is incorrect and may result from a calculation error.

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