What is the solution of the equation 5/2x = −1/8 ?(1 point)
Responses
−20
1/20
−1/20
−5/16
To solve the equation 5/2x = -1/8, we can start by multiplying both sides of the equation by 8 to eliminate the fraction:
8 * (5/2x) = 8 * (-1/8)
This simplifies to:
40/x = -1
Next, we can cross-multiply to solve for x:
40 = -1 * x
Dividing both sides of the equation by -1:
x = -40
Therefore, the solution to the equation is x = -40.
To find the solution to the equation 5/2x = -1/8, we need to isolate the variable x.
1. Multiply both sides of the equation by the reciprocal of 5/2, which is 2/5. This cancels out the fraction on the left side of the equation:
(2/5)(5/2x) = (2/5)(-1/8)
Simplifying, we get:
1/x = -2/40
2. Simplify the right side of the equation:
1/x = -1/20
3. Since the left side of the equation is 1/x, we can write the equation as:
1/x equals -1/20
4. To solve for x, we can take the reciprocal of both sides of the equation:
x = 20/(-1) = -20
Therefore, the solution to the equation 5/2x = -1/8 is x = -20.
To find the solution of the equation 5/2x = -1/8, we need to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x on the left side, which is 2/5.
(5/2x) * (2/5) = (-1/8) * (2/5)
This simplifies to:
1x = (-2/40)
Step 2: Simplify the right side of the equation.
1x = (-1/20)
So, the solution to the equation 5/2x = -1/8 is x = -1/20.
Therefore, the correct option is −1/20.