What is the solution of the equation 5/2x = — 1/8?

Question

A: —5/16
B: 1/20
C: —1/20
D: —20

Answer 1

To solve the equation \( \frac{5}{2}x = -\frac{1}{8} \), follow these steps:

1. Multiply both sides by \( \frac{2}{5} \) to isolate \( x \): \[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

2. Simplify the right side: \[ x = -\frac{2}{40} \]

3. Reduce the fraction: \[ x = -\frac{1}{20} \]

So, the solution is \( x = -\frac{1}{20} \).

The correct answer is C: -1/20.