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

Question

A:—1/16
B:—25/4
C:—5/8
D:—16

Answer 1

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

1. Multiply both sides by \( \frac{5}{8} \) to isolate \( x \):

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

2. Calculate the right side:

   \[ x = -\frac{50}{8} \]

3. Simplify \( -\frac{50}{8} \):

   \[ x = -\frac{25}{4} \]

Thus, the solution is:

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

So, the correct answer is B: -25/4.