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Dvinal [7]
3 years ago
8

Eight times the sum of 8 and some number is 17. What is the number?

Mathematics
2 answers:
astraxan [27]3 years ago
5 0
8(8+x) = 17
    64 + 8x = 16 
  - 64          - 64
----------------------
   8x = -48
 ------  ------        
   8       8

x = -6         
OverLord2011 [107]3 years ago
4 0
Edited answer: The number is:  "- 6" .
_______________________________________________

 8 (8 + x) = 16 ;  

in which "x" represents the number for which to be solved ;

8*8 + 8*x = 16 .

Edit:  64 + 8x = 16 ;

Subtract "64" from each side of the equation:

Edit:   64 + 8x − 64 = 16 <span>− 64 ;

to get:  8x = </span>- 48 ;

Divide EACH SIDE of the equation by "8" ; to isolate "x" on one side of the <span>equation ; and</span> to solve for "x" ;

Edit:     8x / 8 = -48 / 8 ; 

  Edit:    x = - 6 .
______________________________________________
The number is:  "- 6" .
______________________________________________
 Let us check our answer, by plugging in "-6" for "x" in the original equation:
______________________________________________
8 (8 + x) = 16 ; 

→ 8 [8 + (-6) ]  =? 16 ?? ; 

→ 8 (8 − 6 )  =? 16 ?? ; 

→ 8 (2)  =? 16 ?? ; 

→ 16 = ? 16 ??  Yes!
_________________________________________________
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