7(-8)-2y=-52 help....
2 answers:
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Answer: The correct answer is:
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→ Choice: [C]: " " .
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Step-by-step explanation:
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Note that this problem contains multiplication and division.
WIth multiplication and division;
the order of operations we perform is from "left side to right side" in the expression; in the order in which the operation occurs:
As such:
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The given problem:
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" ÷
" ;
Is treated as:
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" ÷
" ;
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So, we start with:
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" " ;
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→ ;
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Simplify:
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" " ;
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→ The "(-1)'s " cancel out:
{since: "(-1)/(-1) = 1 "} ;
→ And we have: " " ;
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Now, continue with the problem, and divide this value by: " " ;
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" ÷
" ;
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Note that dividing by a number is the same as multiplying by the reciprocal of that said number:
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The reciprocal of " " ; is: "
: l
As such:
" ÷
" ;
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= " "
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Now, let us simplify:
Note: The "8" and the "-8" ;
The "8" can be changed to "1" ; and the "-8" can be changed to "-1" ;
since: "-8 ÷ 8 = 1 " ; and since: "8 ÷ 8 = 1 " ;
Note: The "3" and the "21" ;
The "3" can be changed to "1"; and the "21" can be changed to "7" ;
since: "21 ÷ 3 = 7 " ; and since: "3 ÷ 3 = 1 " ;
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And we can we rewrite the expression:
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→ " " ;
which equals: " 7 * -1 " ; which equals " - 7 ".
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Now, the problem has 4 (four) answer choices. Which expression [i.e. which answer choice] is equal to: " -7 " ??
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Consider Choice [A]: " " ; which equals: "
" ;
" ."
Rule out: "Choice [A]."
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Consider Choice: [B]: " " ; which equals: "
; "
."
Rule out: "Choice: [B]."
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Consider Choice: [C]: " " ; which equals: "
; "
".
Choice [C]: seems correct!
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Consider Choice: [D]: " " ; which equals:
" ;
→ cancel out the "(-1)'s" ;
→ {since: "(-1) / (-1) = 1 " ;
to get:
→ " " ; which equals:
→ " " ; "
. "
Rule out: "Choice: [D]."
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The correct answer is:
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Choice: [C]: " " .
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Hope this is helpful to you!
Wishing you the best!
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