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

Question

1/20, -1/20, -20, -5/16

Answer 1

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

1. First, isolate \( x \) by multiplying both sides of the equation by the reciprocal of \( \frac{5}{2} \), which is \( \frac{2}{5} \):

\[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

2. Now, multiply the fractions:

\[ x = -\frac{1 \cdot 2}{8 \cdot 5} = -\frac{2}{40} \]

3. Simplify \( -\frac{2}{40} \):

\[ x = -\frac{1}{20} \]

So, the solution to the equation \( \frac{5}{2}x = -\frac{1}{8} \) is \( x = -\frac{1}{20} \).

From the given options, the correct answer is:

-1/20.