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

Answer 1

To find the solution of the equation (5/2)x = -1/8, you can start by multiplying both sides of the equation by the reciprocal of the coefficient of x, which is (2/5):

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

Simplifying the left side gives:

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

So we have:

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

To multiply these fractions, you multiply the numerators together and then multiply the denominators together:

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

Simplifying the numerator and the denominator gives:

x = -2/40

The fraction -2/40 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

x = -1/20

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