How do you solve? |c-24|=7c

Question

trojanpoem · Answer

either

c-24 = 7c

c-24 = -7c

8c = 24

c = 3 <<< (1)

6c = -24

c = -4 <<< (2)

c = {1, -4}

frank_11 · Answer

My teacher says that c=3 how is that possible?

marcelie · Answer

in abs values you have two cases

frank_11 · Answer

Ok so the answer is 1 and -4 ?

marcelie · Answer

example : http://2.bp.blogspot.com/-8aqxfb2eZ7s/VMZFn2xl1MI/AAAAAAAABx8/m2dZGGb7etU/s1600/Screen%2BShot%2B2015-01-26%2Bat%2B8.47.55%2BAM.png

frank_11 · Answer

Ok I get that there is two answers but can you help me solve my equation. ?

jhonyy9 · Answer

@TrojanPoem pardon for your derrange but above the values what you get are 

3 and -4 not 1 and -4 

you changed the 3 on 1 

please correct 

ty.

trojanpoem · Answer

Typo, during combing in a set.

trojanpoem · Answer

Your teacher is right, abs can only yield a positive answer , so 

in case of -4

28 = -28   ( which is incorrect)

so the only answer is 3

frank_11 · Answer

Ok thank you

frank_11 · Answer

So when I write the work down for -4 how would y write it down?

jhonyy9 · Answer

@TheSmartOne