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

?(1 point)
Responses

−16
negative 16

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

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

−1/16

1 answer

To solve the equation \( \frac{8}{5} x = -10 \), we can start by isolating \( x \).

First, we can multiply both sides of the equation by the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \):

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

Now, calculate the right side:

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

Now, simplify \( -\frac{50}{8} \):

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

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

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

So the correct response is:

−25/4 (negative Start Fraction 25 over 4 End Fraction).