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How do I solve the equation |4x+6|=5

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2 Answers

Hi Arie;
|4x+6|=5
Because this is absolute value...
+(4x+6) is the same as -(4x+6).
4x+6=5............-(4x+6)=5
4x=-1...............-4x-6=5
x=-1/4...............-4x=11
.........................x=-11/4
 
Let's check our results...
|4x+6|=5
x=-1/4
|[(4)(-1/4)]+6|=5
|-1+6|=5
5=5
 
x=-11/4
|[(4)(-11/4)]+6|=5
|-11+6|=5
|-5|=5
5=5
 
 
 
Arie,
            An absolute value question requires two answers because 2 numbers will have the same absolute value. For instance, both 5 and -5 have an absolute value of 5.
 
So the 2 equations you use are 4x + 6 =5 and 4x +6 = -5
 
4x + 6 =5  4x = -1  x = -1/4
 
4x + 6 = -5  4x = -11  x = -11/4
 
Hope this helps