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Mathematics 16 Online
OpenStudy (anonymous):

y=2x-3 6y=12x+18 Help me out here guys!

OpenStudy (anonymous):

Can i have your assistance once more? @sjerman1

OpenStudy (anonymous):

System of equations?

OpenStudy (anonymous):

Maybe I can help... y = 2x-3 so you can substitute that into the second equation.... what do you get?

OpenStudy (anonymous):

alright

OpenStudy (anonymous):

on the second equation just divide the right side by 6!

OpenStudy (anonymous):

y=2x-3 6y=12x+18 --------------- 6(2x-3) = 12x + 18 Solve for x. Then once you have x plug it into either of the equations to get y.

OpenStudy (anonymous):

ok, which leaves you with y.

OpenStudy (ryan123345):

substitution or elimination?

OpenStudy (anonymous):

It doesn't really matter the method. In this case, substitution is easiest.

OpenStudy (anonymous):

@sephl @ryan123345 haha this one is plotting lines,

OpenStudy (anonymous):

yip, exactly what @SephI said

OpenStudy (anonymous):

it's not substituiton or elimination?

OpenStudy (anonymous):

huh? You didn't clarify what you wanted. Do you want us to graph?

OpenStudy (anonymous):

@thisisarri y=2x-3 6y=12x+18 -> y=2x+3

OpenStudy (anonymous):

no worries @SephI @ryan123345 i got this one. I have been helping her on these for a while now

OpenStudy (anonymous):

Alright.

OpenStudy (ryan123345):

|dw:1363380195344:dw|

OpenStudy (anonymous):

that is a couple lvls above what she is doing right now, but thank you!

OpenStudy (anonymous):

ahahah that was confusing.

OpenStudy (anonymous):

but with the two equations you have now @thisisarri y=2x-3 y=2x+3 just go ahead and plot them

OpenStudy (anonymous):

That's both equations?

OpenStudy (anonymous):

keep in mind that when you have something that is attached to your y 6y=12x+18 doesnt matter what it is the only way to move the 6 over is to divide

OpenStudy (anonymous):

yes, @thisisarri , the y=2x+3 came from 6y=12x+18 after moving the 6 over to the right side

OpenStudy (anonymous):

ahh, okay. I wrote all this down so i can have it for the next one like this!

OpenStudy (anonymous):

You've helped so much, ahh!

OpenStudy (anonymous):

just like the one we did earlier, what we did in this one 6y=12x+18 is \[y=\frac{ 12x }{ 6 } +\frac{ 18 }{ 6 }\] we did this because when moving the 6 from the left side to the right side we must divide, because it was multiplied to the y. does this make sense @thisisarri ?

OpenStudy (anonymous):

yes, it makes sense. Jut divide the numbers by 6. not very hard

OpenStudy (anonymous):

i have another question.

OpenStudy (anonymous):

|dw:1363380548821:dw|

OpenStudy (anonymous):

go for it

OpenStudy (anonymous):

okay, so A cell phone company offers a plan that is $30 dollars per month plus $0.10 per text message sent or recieved. A comparable plan costs $60 dollars per month but offers ulimited text messaging. Part A: How many text messages would have to be sent or recieved in order for the plans to cost the same each month? Part B: If you recieved an average of 150 texts per month which plan would you choose? Why?

OpenStudy (anonymous):

alright lets start with a 30+.1(x)=60

OpenStudy (anonymous):

so just like with the other problems solving for y this time we are solving for x

OpenStudy (anonymous):

gotcha. so what do we do now?

OpenStudy (anonymous):

we have $30 for the plan plus .1(times the number of text messages [x]) is equal to = $60 for the unlimited plan

OpenStudy (anonymous):

right!

OpenStudy (anonymous):

so there are two different ways to solve this, some people like to get rid of the decimal in the beginning and others will just leave it like this. what would you like to do?

OpenStudy (anonymous):

we can leave it. it's fine

OpenStudy (anonymous):

well a better question is, are you aloud to use a calculator now or on the test?

OpenStudy (anonymous):

haha yes, i am.

OpenStudy (anonymous):

awesome, so 30+.1(x)=60 we are going to move the 30 over to the right side like this |dw:1363381155103:dw|

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