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

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Answer 1 · 2017-10-15T14:43:37

$c = 7$ $c=7$

$6 = 2 | 7 c - 70 | + 6$ $6=2abs(7c-70)+6$

$0 = 2 | 7 c - 70 |$ $0=2abs(7c-70)$

$0 = | 7 c - 70 |$ $0=abs(7c-70)$

Split into two equations

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

Solving the first one, we get:

$70 = 7 c$ $70=7c$

$c = 7$ $c=7$

Solving the second one, we get:

$0 = - 7 c + 70$ $0=-7c+70$

$7 c = 70$ $7c=70$

$c = 7$ $c=7$

So, our only solution is $c = 7$ $c=7$

How do you solve 6=2|7c−70|+66= 2| 7c - 70| + 6?