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Mathematics 6 Online
OpenStudy (anonymous):

Solve 9c + 4 = -23.

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

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

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.

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.

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

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,

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.

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.

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.

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.

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.

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

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

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

OpenStudy (anonymous):

i can't get it

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