Question

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

Answer 1

`\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`

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`\textbf{OAmalOHopeO}`