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Sagot :
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]
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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