To solve the equation 5/2x = -1/8, you can start by multiplying both sides of the equation by the reciprocal of 5/2, which is 2/5. This will allow you to isolate x.
(5/2x) * (2/5) = (-1/8) * (2/5)
On the left side, the 2 in the numerator and the 2 in the denominator cancel out, leaving you with:
(x) = (-1/8) * (2/5)
Multiply the numerators together and the denominators together:
x = (-1 * 2) / (8 * 5)
Simplify the expression:
x = -2/40
The solution to the equation is x = -1/20 or negative Start Fraction 1 over 20 End Fraction.
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
2 answers
1/20 ÷ 5/2 is -1/8
1 answer