What is the solution of the equation 8/5x = −10 ?(1 point) Responses −1/16 negative Start Fraction 1 over 16 End Fraction −25/4 negative Start Fraction 25 over 4 End Fraction −5/8 negative Start Fraction 5 over 8 End Fraction −16 negative 16

Answer 1

To solve the equation \( \frac{8}{5}x = -10 \), we can isolate \( x \) by following these steps:

1. Multiply both sides of the equation by \( \frac{5}{8} \) to get \( x \) by itself:

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

2. Calculate the right side:

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

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

\[ -\frac{50}{8} = -\frac{25}{4} \]

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

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

So, the correct response is:

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