anonymous
  • anonymous
2-5m=13 steps again...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Mertsj
  • Mertsj
Subtract 2 from both sides first.
Mertsj
  • Mertsj
What did you get?
anonymous
  • anonymous
11

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Mertsj
  • Mertsj
Now divide both sides by -5
Mertsj
  • Mertsj
What did you get?
anonymous
  • anonymous
but that comes out to 2.2... and it needs to come out as a whole number..
Mertsj
  • Mertsj
That would be - 2.2 and it cannot come out as a whole number unless you copied the problem wrong.
anonymous
  • anonymous
okay.. the real question is.. 13=5m-2 i didnt think it would natter if you flopped it around..
Mertsj
  • 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
  • anonymous
it still comes out 2.2...
Mertsj
  • Mertsj
Add 2 to both sides.
Mertsj
  • Mertsj
\[13+2=5m-2+2\]
Mertsj
  • Mertsj
\[15=5m\]
Mertsj
  • Mertsj
Divide both sides by 5
anonymous
  • anonymous
and the answers 3?
Mertsj
  • Mertsj
\[\frac{15}{5}=\frac{5m}{5}\]
Mertsj
  • Mertsj
yep
anonymous
  • anonymous
okay tell me if i get this right to this next question.. -15=2t-11
anonymous
  • anonymous
so would you add 15 to both sides?
Mertsj
  • Mertsj
ok
Mertsj
  • 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
  • anonymous
so.. then would you do -2t then? so then you could get rid of it?
Mertsj
  • 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
  • anonymous
oh.. i see that now. sorry.. this is really frustrating..
Mertsj
  • Mertsj
Well I know it is but if you keep at it, all of a sudden the light will come on.
anonymous
  • 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
  • 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
  • anonymous
i got, t=-2
Mertsj
  • Mertsj
that was very good. Do you have another one?
anonymous
  • anonymous
yes i do, 7k-5=-19
Mertsj
  • Mertsj
Ok. What do you think comes first?
anonymous
  • anonymous
and this is the part i mean i have troubles with.. like i never know if you would add -5bor -19..
Mertsj
  • Mertsj
What is the variable?
Mertsj
  • 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
  • anonymous
the variable is k
Mertsj
  • Mertsj
Yes. Good. Now look at it. Is it multiplied or divided by something?
anonymous
  • anonymous
7
Mertsj
  • Mertsj
Exactly. So at some point we're going to have to reverse that by dividing by 7.
Mertsj
  • Mertsj
But first, was anything added or subtracted to or from the k?
anonymous
  • anonymous
yeah because the problem is 7k-5
Mertsj
  • 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
  • Mertsj
|dw:1328405964795:dw|
Mertsj
  • Mertsj
|dw:1328406078466:dw|
Mertsj
  • Mertsj
|dw:1328406166988:dw|
anonymous
  • anonymous
so for my question here 7k-5=-19 first i going to add -5 to -5 and -19 then rightt?
Mertsj
  • Mertsj
5 is subtracted because it says -5 so you should add 5 to both sides.
anonymous
  • anonymous
okay
Mertsj
  • Mertsj
Let me draw it for you in a different way
Mertsj
  • Mertsj
|dw:1328406347372:dw|
Mertsj
  • Mertsj
Now divide both sides by 7
anonymous
  • anonymous
so the answer all together then would be, k=-2
Mertsj
  • Mertsj
|dw:1328406418593:dw|
Mertsj
  • Mertsj
Yes. Good. Do you have another one?
anonymous
  • anonymous
yeah, 13=4x-11
Mertsj
  • Mertsj
What are you going to do first?
Mertsj
  • Mertsj
|dw:1328406584682:dw|
Mertsj
  • Mertsj
What first to get x alone?
anonymous
  • anonymous
|dw:1328406584851:dw|
anonymous
  • anonymous
this right??
Mertsj
  • Mertsj
Wow!1 You are very smart!!
anonymous
  • anonymous
i just did it??! yay! lol. but.. im still not feeling very confident with it quite yet..
Mertsj
  • Mertsj
Do you have another one?
anonymous
  • anonymous
okay, this one i have to draw out..
Mertsj
  • Mertsj
ok
anonymous
  • anonymous
|dw:1328406824918:dw|
Mertsj
  • Mertsj
|dw:1328406896963:dw|
anonymous
  • anonymous
wait.. so like how would u figure that out.. like first step..
Mertsj
  • Mertsj
|dw:1328407053667:dw|
anonymous
  • anonymous
so then 3 would go under the 10-7
Mertsj
  • Mertsj
yep
Mertsj
  • Mertsj
|dw:1328407194767:dw|
anonymous
  • anonymous
then you would divide.. but what would u do to divide in this case?
Mertsj
  • Mertsj
We could divide by 1/2 but did anybody ever teach you that dividing is the same as multiplying by the reciprocal?
anonymous
  • anonymous
ive heard that
Mertsj
  • Mertsj
So dividing by 1/2 is the same as multiplying by 2. It might be easier to just multiply by 2
Mertsj
  • Mertsj
|dw:1328407410240:dw|
anonymous
  • anonymous
oh, i kinda see this noww
Mertsj
  • Mertsj
Do you have another one?
anonymous
  • anonymous
6+n/5=-4
Mertsj
  • Mertsj
|dw:1328407657571:dw|
anonymous
  • anonymous
so first would you subtract 6 to 6 and the -4?
Mertsj
  • Mertsj
Subtract 6 from both sides.
anonymous
  • anonymous
-10
Mertsj
  • Mertsj
|dw:1328407833632:dw|
anonymous
  • anonymous
then what/
Mertsj
  • Mertsj
Well, we could divide by 1/5 or multiply by 5. Which do you choose?
anonymous
  • anonymous
multiply
Mertsj
  • Mertsj
good choice.
anonymous
  • anonymous
yeahh so then -10 *5?
Mertsj
  • Mertsj
yep
Mertsj
  • Mertsj
|dw:1328408025248:dw|
anonymous
  • anonymous
on my math homework now, i just finished 7 problems.. and before your help i couldn't even finish one.. THANKS!!!! :)
Mertsj
  • Mertsj
wonderful!! You keep at it sweetheart, and you'll be a star.
anonymous
  • anonymous
lol now.. how would u figure this one? w+3w=20
Mertsj
  • Mertsj
Well now they threw us a curve ball, didn't they?
Mertsj
  • Mertsj
But this is easy. Just stay with me and answer by questions which may seem foolish.
anonymous
  • anonymous
kk
Mertsj
  • Mertsj
What is 1 dog +3 dogs?
anonymous
  • anonymous
4
Mertsj
  • Mertsj
4 what?
anonymous
  • anonymous
dogs
Mertsj
  • Mertsj
What is 1 dollar + 3 dollars
anonymous
  • anonymous
4 dollars
Mertsj
  • 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
  • anonymous
4d
Mertsj
  • Mertsj
And supposing we would all agree that d means 1d then what would d+3d be?
anonymous
  • anonymous
4d right?
Mertsj
  • Mertsj
right
Mertsj
  • Mertsj
so now in your problem you have w + 3w What do you suppose that is?
anonymous
  • anonymous
4w
Mertsj
  • Mertsj
Exactly. So now your problem is 4w=20 How would you solve that?
anonymous
  • anonymous
divide by 4 so 20 divided by 4 would be 5
Mertsj
  • Mertsj
Good. perfect!!
anonymous
  • anonymous
so now theres this.. 3(y+5)=21
Mertsj
  • Mertsj
So have you heard of the distributive property?
anonymous
  • anonymous
yeahh, we did it before.. but i forgot all about it.. but im sure ill remember once i see it again..
Mertsj
  • Mertsj
|dw:1328409800280:dw|
Mertsj
  • Mertsj
Does that look familiar?
anonymous
  • anonymous
idkk.. not really.. lol
Mertsj
  • Mertsj
|dw:1328409877024:dw|
Mertsj
  • Mertsj
|dw:1328409931974:dw|
anonymous
  • anonymous
oooh yeahh!
Mertsj
  • Mertsj
you have to "distribute' the 3 to the y and to the 5
anonymous
  • anonymous
so, 3y+15?
Mertsj
  • Mertsj
Great!!
anonymous
  • anonymous
6a+7-a+-18
Mertsj
  • Mertsj
Did you get the other one?
anonymous
  • anonymous
yes i got y=2
Mertsj
  • Mertsj
|dw:1328410272373:dw|
Mertsj
  • Mertsj
That's what I got also.
anonymous
  • anonymous
okayy cool
Mertsj
  • Mertsj
What about 6a-a+7-18
anonymous
  • anonymous
soo would that be 5a+7=18?
Mertsj
  • Mertsj
Oh. There's an equal sign. Yes. 6a-a=5a
anonymous
  • anonymous
okayy
anonymous
  • anonymous
so a=-5?

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