Question

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

−1/20

−5/16

−20

1/20

Answer 1

no its not

Answer 2

To find the solution of the equation 5/2x = −1/8, we can solve for x.

First, we can multiply both sides of the equation by 8 to eliminate the fraction:

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

This simplifies to:

40/x = -1

Next, we can cross-multiply:

40 = -x

To isolate x, we can multiply both sides of the equation by -1:

-40 = x

Therefore, the solution to the equation 5/2x = −1/8 is x = -40.

So, the correct answer is −40.

Answer 3

Apologies for the mistake. Let's solve the equation correctly.

To find the solution of the equation 5/2x = −1/8, we can solve for x.

First, let's multiply both sides of the equation by 2/5 to eliminate the fraction:

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

This simplifies to:

1/x = -1/20

To solve for x, we can take the reciprocal of both sides of the equation:

x = 1 / (-1/20)

The reciprocal of -1/20 is -20/1, so:

x = -20

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

So, the correct answer is -20.