Question

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

Answer 1

Answer:

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

Blank 2; x=3

Step-by-step 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

Answer:

$x=-\frac{9}{2},x=3$

Step-by-step 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):

$4x+3=-15$

$4x=-18$

$x=-\frac{18}{4}$

$x=-\frac{9}{2}$ <-- Blank 1

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