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

Question

Responses

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

1/20
Start Fraction 1 over 20 End Fraction

−20
negative 20

−5/16

Answer 1

To solve the equation 5/2x = -1/8, we can start by multiplying both sides of the equation by the reciprocal of 5/2, which is 2/5.

(5/2x)(2/5) = (-1/8)(2/5)

Simplifying, we get:

(5 * 2)/(2 * 5) * x = -2/40

10/10 * x = -2/40

x = -2/40

Simplifying the fraction -2/40, we get:

x = -1/20

Therefore, the solution to the equation 5/2x = -1/8 is x = -1/20.