What is the solution of the equation 8/5x = −10 ?(1 point)
Responses
−16
−1/16
−25/4
−5/8
To find the solution to the equation 8/5x = -10, we can solve for x by isolating it on one side of the equation.
First, we can multiply both sides of the equation by 5/8 to get rid of the fraction:
(5/8)(8/5x) = (5/8)(-10)
This simplifies to
x = -25/4
Therefore, the solution to the equation is -25/4.
To solve the equation 8/5x = -10, we can start by multiplying both sides of the equation by 5 to eliminate the fraction:
5 * (8/5x) = 5 * (-10)
This simplifies to:
(5 * 8)/(5 * x) = -50
40/5x = -50
Now, we can multiply both sides of the equation by x to isolate the variable:
(x * 40)/(5x) = -50 * x
40 = -50x
Next, we can divide both sides of the equation by -50 to solve for x:
40 / -50 = -50x / -50
-4/5 = x
Therefore, the solution to the equation 8/5x = -10 is x = -4/5.
To find the solution of the equation 8/5x = -10, we need to isolate the variable x. Here's how you can solve it:
Step 1: Multiply both sides of the equation by the reciprocal of 8/5, which is 5/8. This will cancel out the coefficient of x on the left side of the equation.
(8/5x) * (5/8) = -10 * (5/8)
Simplifying, we get:
x = -50/8
Step 2: Reduce the fraction -50/8 to its simplest form. Both the numerator and denominator are divisible by 2.
x = (-25 * 2) / (4 * 2)
x = -25/4
Therefore, the solution to the equation 8/5x = -10 is x = -25/4.