Question

|x| * 5 1/3 = |- 8|ДАЮ 25 БАЛІВ!!!!!!!!!!!!!​

Answer 1

To solve the equation |x| * 5 1/3 = |-8|, let's break it down step by step:

First, we simplify the equation by evaluating the absolute values:

|8| = 8 |-8| = 8

So, the equation becomes:

|x| * 5 1/3 = 8

Next, let's convert the mixed number 5 1/3 to an improper fraction.

5 1/3 = (5 * 3 + 1) / 3 = 16/3

The equation now becomes:

|x| * 16/3 = 8

To isolate the absolute value |x|, we divide both sides of the equation by 16/3:

|x| = 8 / (16/3)

Dividing by a fraction is equivalent to multiplying by its reciprocal, so we can rewrite the equation as:

|x| = 8 * (3/16)

Simplifying further:

|x| = 24/16

Reducing the fraction:

|x| = 3/2

Now, since absolute value returns the distance from zero, both positive and negative values of x can satisfy this equation. Therefore, we have two possible solutions:

x = 3/2 or x = -3/2

Please note that the "ДАЮ 25 БАЛІВ!!!!!!!!!!!!!" part of your message is not clear in the context of the equation, so I'm not sure how to interpret it. If you have any further questions, please let me know!