The correct answer choice is:
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[C]: "Multiply each side by −8, subtract 35 from each side" .
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Explanation:
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Given: "[tex] \frac{-1}{8} [/tex] (x + 35) = -7 " ;
We can START by multiply each side of the equation by "-8" to completely get rid of the "[tex] \frac{-1}{8} [/tex]" fraction on the "left-hand-side" of the equation:
since: "[tex] \frac{-1}{8} [/tex] * -8 = 1 ; and: "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.
" [tex] \frac{-1}{8} [/tex] * -8 =
[tex] \frac{-1}{8} [/tex] * [tex] \frac{-8}{1} [/tex] =
[tex] \frac{(-1*-8)}{(8* 1)} [/tex] = [tex] \frac{8}{8} [/tex] = 1 .
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So, given: "[tex] \frac{-1}{8} [/tex] (x + 35) = -7 " ; ;
We multiply each side of the equation by "-8" ;
→ -8 * { [tex] \frac{-1}{8} [/tex] (x + 35) } = -7 * {-8) " ;
→ 1 (x + 35) = 56 ;
→ x + 35 = 56 ;
Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
→ x + 35 − 35 = 56 − 35 ;
→ x = 21 .
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So, as explained, the correct answer is:
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Answer choice: [C]:
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"Multiply each side by −8, subtract 35 from each side" .
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