What is the solution of the equation 5/2x = −1/8 ?(1 point) Responses −5/16 negative Start Fraction 5 over 16 End Fraction −20 negative 20 1/20 Start Fraction 1 over 20 End Fraction −1/20
To find the solution of the equation 5/2x = -1/8, we need to isolate the variable x.
Starting with the equation:
5/2x = -1/8
To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of (5/2), which is (2/5):
(2/5)(5/2x) = (2/5)(-1/8)
Simplifying both sides gives:
1x = -2/40
Simplifying the right side gives:
1x = -1/20
Therefore, the solution to the equation 5/2x = -1/8 is x = -1/20.