What is the solution of the equation 8/5x = −10?(1 point)
Responses
−16
−5/8
−25/4
−1/16
To solve the equation 8/5x = -10, we need to isolate the variable x.
First, we can multiply both sides of the equation by 5/8 to eliminate the fraction.
(5/8) * (8/5x) = (5/8) * (-10)
This simplifies to:
1x = -25/4
Therefore, the solution to the equation is -25/4.
To solve the equation 8/5x = -10, we need to isolate the variable x.
To do this, we can start by multiplying both sides of the equation by the reciprocal of 8/5, which is 5/8. This gives us:
(5/8) * (8/5x) = (5/8) * (-10)
The left side simplifies to 1*x or just x, while the right side simplifies to -50/8 or -25/4.
Therefore, the solution to the equation 8/5x = -10 is x = -25/4.
So the correct response is −25/4.
To solve the equation 8/5x = -10, we need to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of 8/5, which is 5/8, to cancel out the fraction on the left side:
(8/5x) * (5/8) = -10 * (5/8)
Simplifying this equation, we get:
1x = -50/8
Step 2: Simplify the right side of the equation:
x = -25/4
The solution to the equation 8/5x = -10 is x = -25/4.