CAN ANYONE HELP ME PLS I WILL FAN AND MEDAL TO ANYONE THT HELPS!
What is the solution to the following system? 3x+=3y=10 -9x-9y=-30
try posting up your working so far
I haven't got anything im stuck
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?
yes ofc
okay so pick whichever one you want to use for this particular question..
um.. substitution?
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wheere's mey medal ?
de ansa us d
cun i huve my medul?
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( ͡o ͜ʖ ͡o)
okay so if you want to substitute, write either one of the two equations in the form of y = ... or x = ....
but how?
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?
plug in -9x...?
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..
so we get 3x = 10 - 3y
can it also be 3x=3y+10?
@FireKat97
no because we subtracted 3y from the right hand side, we didn't add it
because only through subtracting 3y from both sides, could we cancel 3y on the left hand side and try to isolate the x
so we divide 10-3y by 3x? @FireKat97
close.. we divide it by 3 alone :)
that way we get x = (10 - 3y)/3
\[x=\frac{ 10-3y }{ 3 }\]
@FireKat97
yup thats correct! Now we want to substitute this into our second equation and simplify..
\[-9(\frac{ 10-3y }{ 3 })-9y=-30\] so tht? @FireKat97
Yup! thats right! now we have to simplify
\[-9(\frac{10-3y }{ 3 })-9y=-30\] \[-21y-9y=-30\] \[+9y+9\] -30=-30 @FireKat97
umm let start off by opening and simplifying the brackets first, so just simplify -9(10 - 3y( and tell me what you get
)*
-21 @FireKat97
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