What is the solution of the equation 5/2x = −1/8 ?(1 point) Responses 1/20 Start Fraction 1 over 20 End Fraction −20 negative 20 −1/20 negative Start Fraction 1 over 20 End Fraction −5/16

1 answer

To solve the equation 5/2x = -1/8, we can multiply both sides of the equation by the reciprocal of the coefficient of x, which is 2/5. This will eliminate the fraction on the left side of the equation.

(5/2x) * (2/5) = (-1/8) * (2/5)
(5 * 2)/(2 * 5) * x = -2/40
10/10 * x = -2/40
1 * x = -2/40
x = -2/40

Simplifying the fraction -2/40, we divide the numerator and denominator by their greatest common divisor, which is 2.

x = (-2/2)/(40/2)
x = -1/20

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