Question

Solve for s.
Give an exact answer.
63 – 4 = 8 (2+1/4s)

Answer 1

Answer:

exact form: 43/2

decimal form: 21.5

mixed number form: 21 1/2

Step-by-step explanation:

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Answer 2

Answer:  " s = 21. 5 " ; or, write as:  " s = $21\frac{1}{2}$ "

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Step-by-step explanation:

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Given:

 63 – 4 = 8 (2+1/4s) ; Solve for: "s" ;

Note: Rewrite the equation:

↔  8 (2+1/4s) = 63 - 4 ;   (commutative property);

Start with the "right-hand side" of the equation:

  " 63 − 4 " ;  which equals:  " 59. "

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Rewrite the equation:

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  →   8 (2 + 1/4s)  =  59 ;

Now, let us examine the "left-hand side" of the equation:

     " 8 (2 + 1/4s) " ;

Note the "distributive property" of multiplication:

           a(b + c) = ab + ac ;

As such:

       " 8 (2 + 1/4s) " ;

                     =  (8×2)  + (8× 1/4s) ;

                     =  16 + 8/4s ;

                      = 16 + 2s ;

Now, rewrite the equation:

                       16 + 2s = 59  ;  Subtract "16" from each side of the equation:

          16 + 2s − 16 = 59 − 16 ;

to get:   2s  = 43 ;

Now, divide each side of the equation by "2" ;  

 to isolate "s" on one side of the equation; & to solve for "s" ;

             2s / 2 =  43 / 2 ;

 to get:

              s =  21. 5 ;  

                  or;  write as " $21 \frac{1}{2}$  " .

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Hope this answer—and explanation—helps you!

  Best of luck to you!

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