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

?(1 point)
Responses

−58
negative Start Fraction 5 over 8 End Fraction

−116
negative Start Fraction 1 over 16 End Fraction

−254
negative Start Fraction 25 over 4 End Fraction

−16

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

  1. Multiply both sides by \( \frac{5}{8} \) to isolate \( x \): \[ x = -10 \cdot \frac{5}{8} \]

  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 \( \frac{8}{5}x = -10 \) is

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

The correct response from the options given is:

−254 negative Start Fraction 25 over 4 End Fraction.