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

Question

?(1 point)
Responses

−254
negative Start Fraction 25 over 4 End Fraction

−16
negative 16

−58
negative Start Fraction 5 over 8 End Fraction

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

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 the reciprocal of \( \frac{8}{5} \), which is \( \frac{5}{8} \):

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

2. Now calculate \( -10 \cdot \frac{5}{8} \):

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

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

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

So, the solution to the equation is:

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

The correct response from your options is: negative Start Fraction 25 over 4 End Fraction.