What is the solution of the equation 5/2x = −1/8? (1 point)

Question

−5/16
−1/20
−20
1/20

Answer 1

To solve the equation \( \frac{5}{2}x = -\frac{1}{8} \), we can start by isolating \( x \).

1. Multiply 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, compute the right-hand side:

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

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

\[ -\frac{2}{40} = -\frac{1}{20} \]

Thus, the solution to the equation is

\[ \boxed{-\frac{1}{20}} \]