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codysaucier2823
03.12.2019 •
Mathematics
What is the sum of 3 consecutive odd integers is -39
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Ответ:
Explanation:
x + (x + 2) + (x + 4) = -39 ;
in which "x" is one of the integers,
"(x + 2)" is the next consecutive odd integer;
"(x + 4)" is the third consecutive odd integer.
By solving for "x", we can solve for each of three (3) consecutive odd integers.
x + (x + 2) + (x + 4) = -39 ;
1x + 1x + 2 + 1x+ 4 = -39 ;
3x + 6 = -39 ;
Subtract "6" from EACH side of the equation:
3x + 6 − 6 = -39 − 6 ;
to get: 3x = -45 ;
Divide EACH side of the equation by "3" ;
3x / 3 = -45 / 3 ;
to get: x = -15 ;
x + 2 = -15 + 2 = -13 ;
x + 4 = -15 + 4 = -11 .
Are: -15, -13, and -11 ; Consecutive odd integers? YES!
Does: -15 + (-13) + (-11) =? = -39 ??
-15 − 13 − 11 = ? 39 ?? YES!
The three consecutive odd integers are: -15, -13, and -11.
Ответ: