what is the solution of the equation 8/5x= -10

3 answers

To solve the equation 8/5x = -10, you can follow the steps below:

1. Multiply both sides of the equation by 5 to eliminate the fraction:
(5)(8/5x) = (5)(-10)
8x = -50

2. Divide both sides of the equation by 8 to isolate x:
8x/8 = -50/8
x = -50/8

Hence, the solution to the equation 8/5x = -10 is x = -50/8.
simplified?
Apologies for that! Let's simplify the solution further.

To simplify the solution, we can express -50/8 as a mixed number or a decimal.

-50 divided by 8 is equal to -6 remainder 2. So, we can write -50/8 as -6 and 2/8.

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

Dividing 2 by 2 gives us 1, and dividing 8 by 2 gives us 4.

So, the simplified solution of 8/5x = -10 is x = -6 and 1/4 or x ≈ -6.25 as a decimal.