Mathematics
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OpenStudy (anonymous):
Solve 9c + 4 = -23.
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OpenStudy (anonymous):
what is 13-23
OpenStudy (anonymous):
10
OpenStudy (anonymous):
-3
3
-2.1
4
OpenStudy (goose.):
Where did you get 13-23?
OpenStudy (goose.):
@lauren.ascough
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OpenStudy (goose.):
For this you need to isolate your variable (c)
OpenStudy (goose.):
So first, you would subtract 4 from both sides.
OpenStudy (goose.):
So you would have 9c = -27
OpenStudy (goose.):
Then divide both sides by 9.
OpenStudy (anonymous):
3
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OpenStudy (goose.):
A positive number divided by a negative number is a negative number.
OpenStudy (anonymous):
@goose i ask you another question
OpenStudy (goose.):
Sure,
OpenStudy (anonymous):
Solve 3x - x + 2 = 12
OpenStudy (goose.):
Combine like terms first, so 3x - 1x is 2x, solve from there, 2x + 2 = 12. subtract 2 from both sides, you have 2x = 10.
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OpenStudy (goose.):
You want base value of x, so divide both sides by 2.
OpenStudy (anonymous):
5
OpenStudy (goose.):
Yup! :)
OpenStudy (anonymous):
@goose i still don't understand to do it by myself
OpenStudy (anonymous):
Solve 4(x + 1) + 8 = 24.
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OpenStudy (anonymous):
like can you help me
OpenStudy (goose.):
Okay, you know how to distribute right?
OpenStudy (anonymous):
mmmmm
OpenStudy (goose.):
Well Distribute your 4 to each number in the parentheses, give me your new equation,
I'll do my best to teach you from there.
OpenStudy (anonymous):
so its 4x + 5
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OpenStudy (anonymous):
in the parenthesis
OpenStudy (goose.):
No, you wouldn't add 4 to the +1, you'd multiply, and 4 x 1 is 4.
OpenStudy (anonymous):
why
OpenStudy (goose.):
But either way, we now have 4x + 4 + 8 = 24
OpenStudy (goose.):
When distributing, you're multiplying by the outside term,
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OpenStudy (anonymous):
ok
OpenStudy (goose.):
So you just take your numbers one at a time, 4 x 1x and 4 x 1
OpenStudy (anonymous):
but it will give you 16x = 24
OpenStudy (goose.):
No, you don't add them up, this is probably the part that confuses you.
OpenStudy (goose.):
So, we need to do the opposite of each other term.
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OpenStudy (goose.):
4x + 4 + 8 = 24, we need to get rid of the 8, so we can Subtract 8 from both sides.
OpenStudy (anonymous):
4x + 4 = 24
OpenStudy (anonymous):
we get rid of the x
OpenStudy (goose.):
4x + 4 + (8 - 8) = 24 - 8
OpenStudy (goose.):
No, the x is the thing we want to keep, we get rid of everything elseon it's side.
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OpenStudy (goose.):
Let's make this a step easier, 4x + 12 = 24.
OpenStudy (goose.):
If you want to get rid of 12, so you just have 4x what would you do?
OpenStudy (anonymous):
add
OpenStudy (goose.):
And remember what ever you do to one side, you do to the other.
OpenStudy (goose.):
I don't think so, if you added it would make the 12 go up. we want it to go down to 0.
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OpenStudy (anonymous):
c = -3
OpenStudy (goose.):
That's actually incorrect.
OpenStudy (anonymous):
subtract
OpenStudy (goose.):
Yes, what would you subtract though?
OpenStudy (goose.):
If you want 12 to be 0, and remember you do it to both sides.
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OpenStudy (anonymous):
4x - 12 = 24 24/8 = 3 the answer is 3
OpenStudy (goose.):
The answer is 3, but why did you do what you just did?
OpenStudy (anonymous):
9c+4=-23
9c=-23-4
9c=-27
9c/9= -27/9
remain the C devide it by 9
c= -3
OpenStudy (goose.):
You should of subtracted 12, from both sides which got you too 4x = 12
OpenStudy (goose.):
Then divide both sides by 4.
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OpenStudy (goose.):
So you would get x=3
OpenStudy (goose.):
We already solved those problems at the top.
OpenStudy (anonymous):
like i subtracted 4 - 12 it gives you 8
OpenStudy (anonymous):
then i divided 8 into 24
OpenStudy (anonymous):
and it gave me 3
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OpenStudy (goose.):
That's not always going to happen, you don't want to do that... You already had +12. you would do -12 to make it 0.
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
just to know if i understand
OpenStudy (anonymous):
Solve y over negative 2 + 5 = 13.
OpenStudy (anonymous):
its -36 right
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OpenStudy (goose.):
No.
OpenStudy (goose.):
You did everything right except for one step, you added 5 to each side instead of subtracted 5 to each side.
OpenStudy (goose.):
If you have + something or - something you want to do the Opposite.
OpenStudy (goose.):
Try it again, using what I just told you.
OpenStudy (anonymous):
scant get it
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OpenStudy (anonymous):
i can't get it