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January 27, 2015

January 27, 2015

Posted by **Unknown.** on Thursday, August 16, 2012 at 4:27pm.

1.|3x-1|=|x+4|

2.|3/k-1|=4

- Algebra2 -
**Reiny**, Thursday, August 16, 2012 at 4:58pmcase1

3x-1 = x+4

2x = 5

x = 5/2

case 2

3x-1 = -x - 4

4x = -3

x = -3/4

There are also cases 3 and 4.

These would be (-3x-1) = -(x+4)

and

-(3x-1) = x+4

but they yield the same answers as we already found

2. |3/k - 1| = 4

3/k - 1 = 4 OR 3/k - 1 = -4

3 - k = 4k or 3 - k = -4k

3 = 5k or 3 = -3k

k = 3/5 or k = -1

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