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

Question

?(1 point)
Responses

Answer 1

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

1. Isolate \( x \): To do this, multiply both sides of the equation by the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \).

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

2. Calculate the right side:

   \[ x = -\frac{10 \times 5}{8} = -\frac{50}{8} \]

3. Simplify the fraction:

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

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

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