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Answer :

Answer:

[tex]x=-\frac{9}{2},x=3[/tex]

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:

[tex]|4x+3|=15[/tex]

First equation (right side is positive):

[tex]4x+3=15[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex] <-- Blank 2

Second equation (right side is negative):

[tex]4x+3=-15[/tex]

[tex]4x=-18[/tex]

[tex]x=-\frac{18}{4}[/tex]

[tex]x=-\frac{9}{2}[/tex] <-- Blank 1

Hope this helps clear things up! Keep in mind that [tex]|-15|=|15|=15[/tex]

Cordeliaeobermiller1go

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!

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