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

Question

?(1 point)
Responses

−5/8
negative Start Fraction 5 over 8 End Fraction

− 25/4
negative Start Fraction 25 over 4 End Fraction

− 1/16
negative Start Fraction 1 over 16 End Fraction

−16
negative 16

Answer 1

To solve the equation \( \frac{8}{5}x = -10 \), we need to isolate \( x \).

1. Start by multiplying both sides of the equation by \( \frac{5}{8} \) to eliminate the fraction:

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

2. Calculate the right side:

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

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

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

So, the solution to the equation is:

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

This corresponds to the response: − 25/4.