What is the solution of the equation 5/2x = −1/8?(1 point)
Responses
−1/20
negative Start Fraction 1 over 20 End Fraction
−5/16
negative Start Fraction 5 over 16 End Fraction
1/20
Start Fraction 1 over 20 End Fraction
−20
To solve the equation 5/2x = -1/8, we can start by multiplying both sides of the equation by the reciprocal of 5/2. The reciprocal of 5/2 is 2/5.
(5/2x)(2/5) = (-1/8)(2/5)
(5 * 2)/(2 * 5) * x = -2/40
1x = -2/40
Simplifying, we get:
x = -1/20
Therefore, the correct solution is -1/20.