Question

If x + 2/7x = 9, then x=

Answer 1

Answer:   " x  =  7 " .

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Step-by-step explanation:

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Given:

x + (2/7)x = 9 ;  Solve for "x" ;

Note:

Start by simplifying the "left hand side of the equation:

 $x +\frac{2}{7}x =1x +\frac{2}{7}x =$$(1\frac{2}{7}) x =\frac{(7*1)+2}{7}x = \frac{(7+2)}{7}x = \frac{9}{7}x$ ;

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Now, rewrite the equation:

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   $\frac{9}{7}x =9$ ;    Solve for "x" ;

We now multiply each side of the equation by "7" ;

to get rid of the "denominator" within the "fraction value"

  on the "left-hand side" of the equation:

  $7 *\frac{9}{7}x = 9 * 7$  ;

On the "left-hand side" of the equation:

 The "7's" cancel out to "1's" ;  since "7÷7 = 1 " ;

   And we are left with "9x" on the "left-hand side" of the equation.

On the "right-hand side" on the equation; we find that: "9 * 7 = 63 ."

   So; we can rewrite the equation:

          9x = 63 ;

To solve for "x" ; we divide each side of the equation by:  "9" ;

       to isolate "x" on one side of the equation;  

         & to solve for "x" ;

          9x / 9 = 63 / 9 ;

to get:

             x  =  7 .

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Hope this answer—and explanation—is helpful!

  Best wishes to you!

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