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absolute value HELP ME PLZ!!!!

Algebra
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| 2/3x + 2| = 10

| 1/4n-5| = 8

please show all work

Sep 16th, 2014

| 2/3x + 2| = 10

To clear the absolute-value bars, I must split the equation into its two possible two cases, one case for each sign:

(2/3x+ 2) = 10             or              – (2/3x+ 2) = 10

2/3x= 10-2                   or              -2/3x-2 = 10

2/3x=8                        or               -2/3x=10+2

2=8 x 3x                     or                -2/3x=12

2=24x                         or                -2=12 x -3x

X=24/2=12  ANS               or                   9x= -2

                                                       X= -3/9 ANS


| 1/4n-5| = 8

To clear the absolute-value bars, I must split the equation into its two possible two cases, one case for each sign:

(1/4n-5) = 8     or  – (1/4n-5) = 8

1=32n-40        or  -1 = 32n-40

32n=41          or  -32n=39

N= 41/32       or  n= - 39/32

N= 1.28  ANS      or  n= -1.21 ANS



Sep 16th, 2014

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