Question

What is the solution of the equation 5/2x = −1/8
?(1 point)
Responses

−20
negative 20

−516
negative Start Fraction 5 over 16 End Fraction

−120
negative Start Fraction 1 over 20 End Fraction

120

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

To solve the equation \( \frac{5}{2}x = -\frac{1}{8} \), follow these steps:

  1. Multiply both sides by \( \frac{2}{5} \) to isolate \( x \): \[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

  2. Compute the right-hand side: \[ x = -\frac{2}{40} \]

  3. Simplify the fraction: \[ x = -\frac{1}{20} \]

Thus, the solution is \( -\frac{1}{20} \) or negative \( \frac{1}{20} \).

The correct response from your options is: "negative Start Fraction 1 over 20 End Fraction."