What is the solution of the equation 8/5x = —10?

Question

—1/16
—25/4
—5/8
—16

Answer 1

To solve the equation \( \frac{8}{5}x = -10 \), we can follow these steps:

1. First, multiply both sides of the equation by \( \frac{5}{8} \) to isolate \( x \):

\[ x = -10 \cdot \frac{5}{8} \]

2. Now, calculate the right side:

\[ x = -\frac{10 \cdot 5}{8} = -\frac{50}{8} = -\frac{25}{4} \]

Therefore, the solution to the equation \( \frac{8}{5}x = -10 \) is

\[ \boxed{-\frac{25}{4}}. \]