What is the solution of the equation 8/5x = −10

Answer 1

To solve the equation 8/5x = -10, we need to isolate the variable x on one side of the equation.

First, we can start by multiplying both sides of the equation by the reciprocal of 8/5, which is 5/8. This gives:

(5/8) * (8/5)x = (5/8) * -10

The 8/5 and 5/8 on the left side cancel each other out, leaving just x:

x = (5/8) * -10

Next, we can simplify the right side of the equation:

x = -50/8

The fraction -50/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

x = -25/4

Therefore, the solution to the equation 8/5x = -10 is x = -25/4.