Mathematics: -2|5x-1|-3=11 and -2|5x-1|-3=-11

It is 22mins past 8 o clock....

-2|5x-1|-3=11 and -2|5x-1|-3=-11 - id2513112513117336365, issaaamiaaa15

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31.01.2022

Answer : The values of x are $\frac{-3}{5}$ and 1.

Step-by-step explanation :

The given equation is:

-2|5x-1|-3=-11

The term -3 is moved or added to the right hand side.

-2|5x-1|=-11+3

-2|5x-1|=-8

The term -2 is divided to the right hand side.

$|5x-1|=\frac{-8}{-2}$

|5x-1|=4

Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.

Negative case : -(5x-1)=4

Positive case : (5x-1)=4

Now solve both the cases.

Negative case : -(5x-1)=4

-5x+1=4

-5x=4-1

-5x=3

$x=\frac{-3}{5}$

and,

Positive case : (5x-1)=4

5x=4+1

5x=5

x=1

Therefore, the values of x are $\frac{-3}{5}$ and 1.

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