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Mathematics 16 Online
OpenStudy (anonymous):

191=2x-3(7x+6)

OpenStudy (noseboy908):

To start this, you firstly need to distribute the -3 to the "7x +6". Can you do that?

OpenStudy (anonymous):

do i do -3 x 7 then -3 x 6?

OpenStudy (anonymous):

my teacher was telling us to do 2x x 7x then -3 x 6 can you do that to?

OpenStudy (noseboy908):

I don't think so, PEMDAS tell us to multiply the -3 by the parenthesis firstly. Try that, and please restate it for me.

OpenStudy (anonymous):

(-21+-18)?

OpenStudy (noseboy908):

Don't forget that it was "7x" before, not just "7".

OpenStudy (anonymous):

oh -21x i mean

OpenStudy (noseboy908):

Yep! Now combine the "-21x" with the 2x. Then restate the entire equation as is for me.

OpenStudy (anonymous):

191=-19x+6

OpenStudy (noseboy908):

Careful, you forgot to add in the 6 that had been multiplied by a three.

OpenStudy (anonymous):

191=-19x+-18

OpenStudy (noseboy908):

Yep, so now do all you can to isolate the x. Restate each step for me please.

OpenStudy (anonymous):

do i do 191-18

OpenStudy (anonymous):

but do that to both sides witch would knock out the 18 completely which would leave 173=19x

OpenStudy (noseboy908):

No, recall that in order to move something being subtracted already from one side to the other, you have to add it, in order to cancel it out on the original side.

OpenStudy (anonymous):

so 191+ -18

OpenStudy (noseboy908):

No, but you're close. You have to switch the sign when you add it. So instead it should be "191+18"

OpenStudy (anonymous):

oh ok then that leaves 209=19x then do you divide both sides by 19?

OpenStudy (noseboy908):

Yep. And what do you get?

OpenStudy (anonymous):

11=x

OpenStudy (noseboy908):

Wait, I'm sorry, but you should have had "-19x" on the right side. You restated it correctly right after you found it, but then both of us forgot about it. So, knowing that, What's your new answer?

OpenStudy (anonymous):

-11=x

OpenStudy (noseboy908):

Yep! That's your final answer!

OpenStudy (anonymous):

wow thank you you helped alot really :D

OpenStudy (anonymous):

i have another one that im stumped on that has fractions do you think you could help me with that ? it seems like you get this really well

OpenStudy (noseboy908):

Fire away.

OpenStudy (anonymous):

\[13=\frac{ 10x +17 }{ 9 }\]

OpenStudy (noseboy908):

Ok. Firstly, you need to remove the nine from the bottom. Know how you would? If not, then no problem, just say so.

OpenStudy (anonymous):

all i can think of is to combine it with 17?

OpenStudy (noseboy908):

I'm afraid not, though good try. To eliminate the nine from the right side, you need to multiply it, as well as the left side, by something that would make the nine equal to one. So, think about this: What, when multiplied by nine, is equal to one?

OpenStudy (anonymous):

im not sure

OpenStudy (noseboy908):

Ok, then I'll give you a general rule that will serve you throughout all of your math classes: When any number (let's call it "x") is multiplied by one over itself, it equals zero. The opposite is also true. Whenever any number, that is already the denominator of a fraction, is multiplied by itself over one, it equals one. Otherwise states as "x/1ยท1/x=1", and in reverse. So, given that, what times nine equals one?

OpenStudy (anonymous):

x?

OpenStudy (noseboy908):

No, x in this context is just representative of any number. Perhaps an example would help here. |dw:1393791779711:dw|

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