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

Question

A. 1/20
B. -20
C. -5/16
D. -1/20

Answer 1

To find the solution of the equation 5/2x = -1/8, we can start by cross multiplying:

(5/2)x = -1/8 is equivalent to 5 * (-1/8) = 2x

Now, we can simplify the left side of the equation:

-5/8 = 2x

To isolate x, we can divide both sides of the equation by 2:

(-5/8) / 2 = x

-5/16 = x

So, the solution to the equation 5/2x = -1/8 is x = -5/16.

Therefore, the correct answer is C. -5/16.