Question

I SWEAR I'VE ASKED THIS QUESTION 8 TIMES ALREADY PLEASE ANSWER

Answer 1

Blank 1; x= -4 1/2 (read negative 4 and one half)

Blank 2; x=3

Explanation:

Get rid of the absolute value by adding the opposite of the answer to the other side

-15=4x+3=15 (you can also write this as two equations if your teacher requires you to but I find this way faster)

Subtract 3 from all sides

-18=4x=12

Divide all sides by 4

-4.5 (-4 1/2)=x

3=x

Hope this helps:) Have a good day!

Answer 2

`x=-(9)/(2),x=3`

Explanation:

When solving an absolute value equation, you'll need to make two separate equations to account for the fact that the absolute value of a positive and negative number are both the same positive answer:

`|4x+3|=15`

First equation (right side is positive):

`4x+3=15`

`4x=12`

`x=3` <-- Blank 2

Second equation (right side is negative):

`4x+3=-15`

`4x=-18`

`x=-(18)/(4)`

`x=-(9)/(2)` <-- Blank 1

Hope this helps clear things up! Keep in mind that
`|-15|=|15|=15`