Posted by **ann** on Saturday, January 28, 2012 at 10:10pm.

could you please check my answer and show me correct way . thanks for your help

solve the equation if pssible

-3|6n-2| +5 = 8

note:: 6n-2 is abolute value

6n-2 is positive

-3|6n-2| + 5 = 8

|6n-2| = 6

6n - 2 = 6

6n - 2 +2 = 6 + 2 divide by 6

n = 8/6

6n-2 negative

-3|6n-2|+ 5 = -8

|6n-2|+ 2 = -8

|6n-2| = -10

6n-2 +2 = -10 + 2

6n = -8 divide by 6

n = -8/6

- algebra -
**Jai**, Sunday, January 29, 2012 at 1:18am
-3|6n-2| +5 = 8

case I: absolute value is positive. thus,

-3(6n-2) + 5 = 8

-3(6n-2) = 8 - 5

-3(6n-2) = 3

6n - 2 = -1

6n = 1

n = 1/6

case II: absolute value is negative. thus,

-3[-(6n-2)] + 5 = 8

3(6n-2) + 5 = 8

3(6n-2) = 3

6n - 2 = 1

6n = 3

n = 1/2

NOTE: these are not yet the answers. we must check if they satisfy the original equation by substituting each:

n = 1/6:

-3|6n-2| + 5 = 8

-3|6*1/6 - 2| + 5 = 8

-3|1-2| + 5 = 8

-3|-1| + 5 = 8

-3(1) + 5 = 8

-3 + 5 = 8

2 = 8 (this cannot be, thus n = 1/6 is not a solution)

n = 1/2:

-3|6n-2| + 5 = 8

-3|6*1/2 - 2| + 5 = 8

-3|3 - 2| + 5 = 8

-3|1| + 5 = 8

-3 + 5 = 8

2 = 8 (this cannot be, thus n = 1/6 is not a solution)

Therefore, no solution exists.

If you have questions, don't hesitate to ask. :)

Hope this helps~ :)

- algebra -
**ann**, Sunday, January 29, 2012 at 1:10pm
thank you very much Jai for taking the time to help me ann

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