Multiple choice

Which of the following options represents the value of x in $\frac{2x + 5}{x- 5} = \frac{1}{8}$?

  1. 3

  2. 6

  3. – 6

  4. – 3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\frac{2x + 5}{x- 5} = \frac{1}{8}$ 16x + 40 = x – 5 16x – x = – 40 – 5 15x = – 45 x = – $\frac{45}{15}$= – 3

AI explanation

Cross-multiplying the equation gives 8(2x + 5) = x - 5, which expands to 16x + 40 = x - 5. Moving terms gives 15x = -45, so x = -3. Plugging -3 back in: (2(-3)+5)/(-3-5) = (-1)/(-8) = 1/8, confirming the value.

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