How do you solve #6= 2| 7c - 70| + 6#?

Question

849 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-15T14:43:37

#c=7#

#6=2abs(7c-70)+6#

#0=2abs(7c-70)#

#0=abs(7c-70)#

Split into two equations

#0=7c-70# and #0=-1(7c-70)#

Solving the first one, we get:

#70=7c#

#c=7#

Solving the second one, we get:

#0=-7c+70#

#7c=70#

#c=7#

So, our only solution is #c=7#