What is the solution of the equation 5/2x = −1/8

Question

?(1 point)
Responses

−20
negative 20

− 5/16
negative Start Fraction 5 over 16 End Fraction

1/20
Start Fraction 1 over 20 End Fraction

− 1/20
negative Start Fraction 1 over 20 End Fraction

Answer 1

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

1. Isolate \(x\) by multiplying both sides of the equation by the reciprocal of \(\frac{5}{2}\), which is \(\frac{2}{5}\):

   \[ x = -\frac{1}{8} \cdot \frac{2}{5} \]

2. Multiply the fractions:

   \[ x = -\frac{2}{40} \]

3. Simplify the fraction:

   \[ x = -\frac{1}{20} \]

So, the solution to the equation \( \frac{5}{2}x = -\frac{1}{8} \) is

\[ \boxed{-\frac{1}{20}} \]

Therefore, the correct response is − 1/20 (negative Start Fraction 1 over 20 End Fraction).