What value of k makes the statement true?
–(k + 12) = 6 + (–12)
A.
–18
B.
–6
C.
6
D.
18
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OpenStudy (anonymous):
@SydtheKid913
sammixboo (sammixboo):
Well, you can start this problem by adding \(\rm \color{#20bd23}{6~+~(-12)}\)
So what is \(\rm \color{#20bd23}{6~+~(-12)}\)
OpenStudy (anonymous):
umm -6
sammixboo (sammixboo):
Correct, so we have \(\rm \color{#20bd23}{-(k~+~12)~=~-6}\)
We can simplify the problem to make the problem look like this
{-k ~- ~12~ =~-6}\)
Now we add 12 to both sides of the equation :)
\(\rm \color{#20bd23}{-k ~- ~12~+~12 =~-6~+~12}\)
\(\rm \color{#20bd23}{-k~=~-6~+~12}\)
What is -6 + 12?
OpenStudy (anonymous):
6
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sammixboo (sammixboo):
Yes, so now we have \(\rm \color{#20bd23}{-k~=~6}\)
Now one last step is to divide both sides of the equations by -1
\(\rm \color{#20bd23}{-k\div-1~=~6\div -1}\)
\(\rm \color{#20bd23}{k~=~6\div -1}\)
sammixboo (sammixboo):
So what is 6/-1?
OpenStudy (anonymous):
5!
sammixboo (sammixboo):
Mmm no. Try again :P
sammixboo (sammixboo):
6/-1
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OpenStudy (anonymous):
i dont know
sammixboo (sammixboo):
A positive number divided by a negative number will always be negative, so what is 6/1? After you have solved that, make the answer negative
OpenStudy (anonymous):
-5?
sammixboo (sammixboo):
Nope.. a number divided by 1 it itself, so 5/1 = 5 3/1 = 3...
OpenStudy (anonymous):
so -3?
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