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 find the solution for the equation, we can start by multiplying both sides of the equation by 2x to eliminate the fraction:
(5/2x)(2x) = (-1/8)(2x)
Simplifying, we get:
5 = -1/4x
Next, we can multiply both sides of the equation by 4 to eliminate the fraction:
4(5) = 4(-1/4x)
Simplifying further, we get:
20 = -x
To isolate x, we can multiply both sides of the equation by -1:
-1(20) = -1(-x)
Simplifying the equation, we get:
-20 = x
Therefore, the solution to the equation 5/2x = -1/8 is x = -20.
To find the solution of the equation, we need to isolate the variable, which in this case is x.
The equation is 5/2x = -1/8.
To isolate the variable x, we can start by multiplying both sides of the equation by the reciprocal of 5/2, which is 2/5. This will result in:
(2/5)(5/2x) = (2/5)(-1/8)
This simplifies to:
1x = -2/40
Now, to simplify further, we divide both sides of the equation by 1:
x = -2/40
Now, we can simplify -2/40 by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives us:
x = -1/20
To solve the equation 5/2x = -1/8, you can begin by multiplying both sides of the equation by 2 to eliminate the fraction in the denominator of the x term:
2 * 5/2x = 2 * -1/8
This simplifies to:
5x = -2/8
Next, simplify the right side of the equation by dividing both the numerator and denominator of -2/8 by their greatest common factor, which is 2:
5x = -1/4
Now, to isolate the x term, divide both sides of the equation by 5:
(5x)/5 = (-1/4)/5
This simplifies to:
x = -1/20
Therefore, the solution to the equation 5/2x = -1/8 is x = -1/20.