232,286 views
14 votes
14 votes
Solve |x+ 6| – 7 = 8.

A. x = 9 and x = -21
B. x = 9 and x = -9
C. x= -9 and x = -21
D. x = -9 and x = 21

User Christoph Thiede
by
2.4k points

1 Answer

23 votes
23 votes

Answer:


\textbf{A. x=9 and x=-21}

Explanation:


|x+ 6| - 7 = 8


|x-6|=15


\left \{ {{x+6=15} \atop {x+6=-15}} \right.


x-6=15

Subtract 6 from both sides:


\longmapsto
x+6-6=15-6


\longmapsto
x=9


x+6=-15

Subtract 6 from both sides:


\longmapsto
x+6-6=-15-6


\longmapsto
x=-21

______________________


\textbf{OAmalOHopeO}

User Memes
by
2.9k points