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Karo-lina-s [1.5K]
3 years ago
6

Solve |x – 4| + 6 = 17.

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

\mathrm{C)\:}x=15,\:-7

Step-by-step explanation:

For |a-b|=c, there are two possible cases:

\begin{cases}a-b=c\\a-b=-c\\\end{cases}

Solving for both cases, we get:

\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}

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Step-by-step explanation:

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Step-by-step explanation:

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