2-5m=13
steps again...

- anonymous

2-5m=13
steps again...

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- Mertsj

Subtract 2 from both sides first.

- Mertsj

What did you get?

- anonymous

11

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## More answers

- Mertsj

Now divide both sides by -5

- Mertsj

What did you get?

- anonymous

but that comes out to 2.2... and it needs to come out as a whole number..

- Mertsj

That would be - 2.2 and it cannot come out as a whole number unless you copied the problem wrong.

- anonymous

okay.. the real question is.. 13=5m-2
i didnt think it would natter if you flopped it around..

- Mertsj

You didn't "flop it around". You changed 5m-2 to its opposite. That's like saying, ok, I'll just change this 10 to -10

- anonymous

it still comes out 2.2...

- Mertsj

Add 2 to both sides.

- Mertsj

\[13+2=5m-2+2\]

- Mertsj

\[15=5m\]

- Mertsj

Divide both sides by 5

- anonymous

and the answers 3?

- Mertsj

\[\frac{15}{5}=\frac{5m}{5}\]

- Mertsj

yep

- anonymous

okay tell me if i get this right to this next question..
-15=2t-11

- anonymous

so would you add 15 to both sides?

- Mertsj

ok

- Mertsj

Remember you are trying to get the variable by itself. The variable has been multiplied by 2 and then had 11 subtracted from it. How would you "undo" those things so that the variable can be by itself?

- anonymous

so.. then would you do -2t then? so then you could get rid of it?

- Mertsj

You "undo" the stuff in reverse order. The variable was multiplied by 2 and 11 was subtracted.
To undo that add 11 and then divide by 2

- anonymous

oh.. i see that now. sorry.. this is really frustrating..

- Mertsj

Well I know it is but if you keep at it, all of a sudden the light will come on.

- anonymous

yeah, after i figure out what to either use to "undo" then i got the rest of the problem.. its just i never know what number to either subtract from or add..
you know what i mean?

- Mertsj

I do know what you mean. Just always focus on getting the variable by itself by "undoing" the stuff. What did you get for this problem?

- anonymous

i got, t=-2

- Mertsj

that was very good. Do you have another one?

- anonymous

yes i do,
7k-5=-19

- Mertsj

Ok.
What do you think comes first?

- anonymous

and this is the part i mean i have troubles with.. like i never know if you would add -5bor -19..

- Mertsj

What is the variable?

- Mertsj

I don't mean the solution. I just want you to identify the variable. Is it x or y or ...what is it?

- anonymous

the variable is k

- Mertsj

Yes. Good. Now look at it. Is it multiplied or divided by something?

- anonymous

7

- Mertsj

Exactly. So at some point we're going to have to reverse that by dividing by 7.

- Mertsj

But first, was anything added or subtracted to or from the k?

- anonymous

yeah because the problem is 7k-5

- Mertsj

Yes you are correct but I want you to tell me specifically what the number is and whether it was added or subtracted.

- Mertsj

|dw:1328405964795:dw|

- Mertsj

|dw:1328406078466:dw|

- Mertsj

|dw:1328406166988:dw|

- anonymous

so for my question here
7k-5=-19
first i going to add -5 to -5 and -19 then rightt?

- Mertsj

5 is subtracted because it says -5
so you should add 5 to both sides.

- anonymous

okay

- Mertsj

Let me draw it for you in a different way

- Mertsj

|dw:1328406347372:dw|

- Mertsj

Now divide both sides by 7

- anonymous

so the answer all together then would be, k=-2

- Mertsj

|dw:1328406418593:dw|

- Mertsj

Yes. Good. Do you have another one?

- anonymous

yeah,
13=4x-11

- Mertsj

What are you going to do first?

- Mertsj

|dw:1328406584682:dw|

- Mertsj

What first to get x alone?

- anonymous

|dw:1328406584851:dw|

- anonymous

this right??

- Mertsj

Wow!1 You are very smart!!

- anonymous

i just did it??! yay! lol. but.. im still not feeling very confident with it quite yet..

- Mertsj

Do you have another one?

- anonymous

okay, this one i have to draw out..

- Mertsj

ok

- anonymous

|dw:1328406824918:dw|

- Mertsj

|dw:1328406896963:dw|

- anonymous

wait.. so like how would u figure that out.. like first step..

- Mertsj

|dw:1328407053667:dw|

- anonymous

so then 3 would go under the 10-7

- Mertsj

yep

- Mertsj

|dw:1328407194767:dw|

- anonymous

then you would divide.. but what would u do to divide in this case?

- Mertsj

We could divide by 1/2 but did anybody ever teach you that dividing is the same as multiplying by the reciprocal?

- anonymous

ive heard that

- Mertsj

So dividing by 1/2 is the same as multiplying by 2.
It might be easier to just multiply by 2

- Mertsj

|dw:1328407410240:dw|

- anonymous

oh, i kinda see this noww

- Mertsj

Do you have another one?

- anonymous

6+n/5=-4

- Mertsj

|dw:1328407657571:dw|

- anonymous

so first would you subtract 6 to 6 and the -4?

- Mertsj

Subtract 6 from both sides.

- anonymous

-10

- Mertsj

|dw:1328407833632:dw|

- anonymous

then what/

- Mertsj

Well, we could divide by 1/5 or multiply by 5. Which do you choose?

- anonymous

multiply

- Mertsj

good choice.

- anonymous

yeahh so then -10 *5?

- Mertsj

yep

- Mertsj

|dw:1328408025248:dw|

- anonymous

on my math homework now, i just finished 7 problems.. and before your help i couldn't even finish one.. THANKS!!!! :)

- Mertsj

wonderful!! You keep at it sweetheart, and you'll be a star.

- anonymous

lol now.. how would u figure this one?
w+3w=20

- Mertsj

Well now they threw us a curve ball, didn't they?

- Mertsj

But this is easy. Just stay with me and answer by questions which may seem foolish.

- anonymous

kk

- Mertsj

What is 1 dog +3 dogs?

- anonymous

4

- Mertsj

4 what?

- anonymous

dogs

- Mertsj

What is 1 dollar + 3 dollars

- anonymous

4 dollars

- Mertsj

Now what if I said that I don't want to write out dollars all the time so I am just going to use d
What would 1d + 3d be?

- anonymous

4d

- Mertsj

And supposing we would all agree that d means 1d then what would d+3d be?

- anonymous

4d right?

- Mertsj

right

- Mertsj

so now in your problem you have w + 3w
What do you suppose that is?

- anonymous

4w

- Mertsj

Exactly. So now your problem is 4w=20
How would you solve that?

- anonymous

divide by 4 so 20 divided by 4 would be 5

- Mertsj

Good. perfect!!

- anonymous

so now theres this..
3(y+5)=21

- Mertsj

So have you heard of the distributive property?

- anonymous

yeahh, we did it before.. but i forgot all about it.. but im sure ill remember once i see it again..

- Mertsj

|dw:1328409800280:dw|

- Mertsj

Does that look familiar?

- anonymous

idkk.. not really.. lol

- Mertsj

|dw:1328409877024:dw|

- Mertsj

|dw:1328409931974:dw|

- anonymous

oooh yeahh!

- Mertsj

you have to "distribute' the 3 to the y and to the 5

- anonymous

so, 3y+15?

- Mertsj

Great!!

- anonymous

6a+7-a+-18

- Mertsj

Did you get the other one?

- anonymous

yes i got y=2

- Mertsj

|dw:1328410272373:dw|

- Mertsj

That's what I got also.

- anonymous

okayy cool

- Mertsj

What about 6a-a+7-18

- anonymous

soo would that be 5a+7=18?

- Mertsj

Oh. There's an equal sign. Yes. 6a-a=5a

- anonymous

okayy

- anonymous

so a=-5?

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