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4 / 6x-1/=29

the / means absolute value

2007-08-13 11:56:08 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

4|6x-1| = 29 becomes
|6x-1| = 29/4 becomes

6x - 1 = +/-29/4 or
6x = 1 +/- 29/4 or
x = 1/6 +/- 29/24

There are two possible values for x that will satisfy the absolute value equation.

2007-08-13 12:04:34 · answer #1 · answered by rscanner 6 · 0 0

first divide by 4 on both sides : we get |6x-1| = 29/4

then this means that 6x-1 = 29/4 or 6x-1 = - 29/4

adding 1 to both sides: we have 6x = 33/4 or 6x = - 25/4

dividing by 6 on both sides: we have x= 11/8 or x = -25/24

2007-08-13 12:04:54 · answer #2 · answered by kat79015 2 · 0 0

Well, you start out by splitting it up into positive and negative, so....

4 * (6x - 1) = 29
4 * (1 - 6x) = 29 (order switched for conveniance)

Then multiply out for each...

24x - 4 = 29
4 - 24x = 29

And then just solve from there. The answer is

x = (11/8) OR -(25/24)

2007-08-13 12:06:40 · answer #3 · answered by Anonymous · 0 0

4|6x-1|=29
|6x-1|= 29/4
6x-1 =29/4
6x = 1+29/4 = 33/4
x = 33/24

6x-1 = -29/4
6x =1-29/4 = -25/4
x = -25/24
So x = -25/24 or 33/24

2007-08-13 12:11:28 · answer #4 · answered by ironduke8159 7 · 0 0

you cant have absolute value bcuz you cant combine unlike terms... meaning that if you have (like your problem) 6x-1 it cant b dun... but if it was 6x-1x then you could do it and your absolute value would be 5...

2007-08-13 12:06:00 · answer #5 · answered by MoMo 1 · 0 0

4 I 6x-1I = 29
I6x - 1I = 29/4 = 7.25

Now you get 2 equations
6x - 1 = 7.25 and 6x - 1 = - 7.25
6x = 8.25 and 6x = - 6.25
x = 8.25/6 and x = - 6.25/6

2007-08-13 12:04:47 · answer #6 · answered by Sheen 4 · 0 0

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