What is the solution of the equation 5/2x = −1/8 ?(1 point) Responses 120 Start Fraction 1 over 20 End Fraction −20 negative 20 −120 negative Start Fraction 1 over 20 End Fraction −516 negative Start Fraction 5 over 16 End Fraction

1 answer

To solve the equation 5/2x = -1/8, we can cross-multiply:

(5/2)x = -1/8

Multiply both sides by 8 to get rid of the fraction:

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

Please note that when you multiply a fraction by a whole number, you can multiply the numerator (top) by that number.

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

Now we can simplify further:

20x = -1

To solve for x, divide both sides by 20:

(20x)/20 = -1/20

x = -1/20

So, the solution to the equation is x = -1/20.
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