Question

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

Answer 1

exact form: 43/2

decimal form: 21.5

mixed number form: 21 1/2

Explanation:

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Answer 2

Answer: " s = 21. 5 " ; or, write as: " s =
`21(1)/(2)` "

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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 (1)/(2)` " .

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Hope this answer—and explanation—helps you!

Best of luck to you!

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