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Mathematics 27 Online
OpenStudy (ayee_ciera):

CAN ANYONE HELP ME PLS I WILL FAN AND MEDAL TO ANYONE THT HELPS!

OpenStudy (ayee_ciera):

What is the solution to the following system? 3x+=3y=10 -9x-9y=-30

OpenStudy (firekat97):

try posting up your working so far

OpenStudy (ayee_ciera):

I haven't got anything im stuck

OpenStudy (firekat97):

okay so when you have questions like these, there are two methods you can go to; substitution method and elimination method do you know how these work?

OpenStudy (ayee_ciera):

yes ofc

OpenStudy (firekat97):

okay so pick whichever one you want to use for this particular question..

OpenStudy (ayee_ciera):

um.. substitution?

OpenStudy (anonymous):

i tink de ansa is d :)

OpenStudy (anonymous):

( ͡° ͜ʖ ͡°), ( ͠° ͟ʖ ͡°), ᕦ( ͡° ͜ʖ ͡°)ᕤ, ( ͡~ ͜ʖ ͡°). ( ͡o ͜ʖ ͡o), ͡° ͜ʖ ͡ -, ( ͡͡ ° ͜ ʖ ͡ °)

OpenStudy (anonymous):

wheere's mey medal ?

OpenStudy (anonymous):

de ansa us d

OpenStudy (anonymous):

cun i huve my medul?

OpenStudy (anonymous):

( ͡° ͜ʖ ͡°), ( ͠° ͟ʖ ͡°), ᕦ( ͡° ͜ʖ ͡°)ᕤ, ( ͡~ ͜ʖ ͡°). ( ͡o ͜ʖ ͡o), ͡° ͜ʖ ͡ -, ( ͡͡ ° ͜ ʖ ͡ °)

OpenStudy (anonymous):

( ͡o ͜ʖ ͡o)

OpenStudy (firekat97):

okay so if you want to substitute, write either one of the two equations in the form of y = ... or x = ....

OpenStudy (ayee_ciera):

but how?

OpenStudy (firekat97):

okay so say we pick the first equation and want to write it in terms of x... so 3x + 3y = 10 we want to isolate x, do you have any ideas how we may do so?

OpenStudy (ayee_ciera):

plug in -9x...?

OpenStudy (firekat97):

um no, we want x by itself, so we can start off by subtracting 3y from both sides of the equation, to get 3x + 3y - 3y = 10 - 3y and now we simplify..

OpenStudy (firekat97):

so we get 3x = 10 - 3y

OpenStudy (ayee_ciera):

can it also be 3x=3y+10?

OpenStudy (ayee_ciera):

@FireKat97

OpenStudy (firekat97):

no because we subtracted 3y from the right hand side, we didn't add it

OpenStudy (firekat97):

because only through subtracting 3y from both sides, could we cancel 3y on the left hand side and try to isolate the x

OpenStudy (ayee_ciera):

so we divide 10-3y by 3x? @FireKat97

OpenStudy (firekat97):

close.. we divide it by 3 alone :)

OpenStudy (firekat97):

that way we get x = (10 - 3y)/3

OpenStudy (ayee_ciera):

\[x=\frac{ 10-3y }{ 3 }\]

OpenStudy (ayee_ciera):

@FireKat97

OpenStudy (firekat97):

yup thats correct! Now we want to substitute this into our second equation and simplify..

OpenStudy (ayee_ciera):

\[-9(\frac{ 10-3y }{ 3 })-9y=-30\] so tht? @FireKat97

OpenStudy (firekat97):

Yup! thats right! now we have to simplify

OpenStudy (ayee_ciera):

\[-9(\frac{10-3y }{ 3 })-9y=-30\] \[-21y-9y=-30\] \[+9y+9\] -30=-30 @FireKat97

OpenStudy (firekat97):

umm let start off by opening and simplifying the brackets first, so just simplify -9(10 - 3y( and tell me what you get

OpenStudy (firekat97):

)*

OpenStudy (ayee_ciera):

-21 @FireKat97

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