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docker41 [41]
3 years ago
8

6 over what equals 3

Mathematics
2 answers:
tresset_1 [31]3 years ago
5 0
6/x=3  Do *x on each side, you get 6=3x.  Do /3 on each side, x=2.
algol133 years ago
3 0

The correct answer is:   " 2 " .

_______________________

    →  6 over "2" equals 3 .

_______________________

Explanation:

_______________________

The question asks:  " 6 over {what value?} equals "3" ?

Solve for the "unknown value".

_______________________

To solve:

Let "x" represent the "unknown value".

_______________________

→   "  \frac{6}{x}  = 3 " ;  Solve for "x" .

→  Multiply each side of the equation by "x" ;   as follows:

→  x * \frac{6}{x}  = 3 * x  ;

_______________________

→  The 2 (two) "x" variables on the "<u><em>left-hand side</em></u>" of the equation cancel out;

    →  {since:  " \frac{x}{x} = 1 " ;  

    →  {since any value, divided by that same value, is equal to "1" ;

           →   {assuming that the value is not "zero" .} ;

_______________________

→  to get:

  " 1 * 6  = 3 * x " ;  

→  which we can simplify and rewrite; as follows:

  "  6 = 3x " ;

↔  " 3x = 6 " ;

Now, we can divide EACH SIDE of the equation by "3" ;

   to isolate "x" on one side of the equation;  & to solve for "x" ; as follows:

    →  3x / 3  =  6 / 3  ;

to get:

_________________________

   →   x  = 2 .

_______________________

The answer is:  " 2 "  .

_______________________

  →  6 over "2" equals 3 .

_______________________

Hope this helps!

Best wishes in your academic pursuits —

and within the "Brainly" community!

_______________________

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