10
algebra

Solve: 1x+12x=34\frac{1}{x} + \frac{1}{2x} = \frac{3}{4} (Note: xeq0x eq 0)

A

1

B

2

C

3

D

4

Correct Answer: B

Choice Choice B is the correct answer.

  1. Common Denom (4x): 44x+24x=3x4x\frac{4}{4x} + \frac{2}{4x} = \frac{3x}{4x}
  2. Equation: 4+2=3x4 + 2 = 3x
  3. Simplify: 6=3x6 = 3x
  4. Divide by 3: x=2x = 2
  5. Verify: 1/2+1/4=3/41/2 + 1/4 = 3/4

Choice Choice D is incorrect because calculation error.

Choice Choice A is incorrect because calculation error.

Choice Choice A is incorrect because calculation error.