anonymous
  • anonymous
Would anyone give me the exact step for solving this problem? 9x-6(4x-2(x+2y))-(4x-3(y-2x))+14y
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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UsukiDoll
  • UsukiDoll
\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y \] this?
anonymous
  • anonymous
yes that one
UsukiDoll
  • UsukiDoll
we have a monster version of PEMDAS

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anonymous
  • anonymous
is there any guide i should follow in order to get the correct answer? I always come up with different answers
UsukiDoll
  • UsukiDoll
let's do it the order of operations way which is deal with the parenthesis first ...but this is a mega one so we need to be careful
UsukiDoll
  • UsukiDoll
\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y\] ok I can't change the color of the font x.x but let's try dealing with \[\large -(4x-3(y-2x))\] first
UsukiDoll
  • UsukiDoll
there's is () but we also have another ()... do the inner () first
UsukiDoll
  • UsukiDoll
don't forget to distribute the negative too because it's on the right hand side of the equation ^^ so what's -3 times y and -3 times -2x
anonymous
  • anonymous
okay im following
UsukiDoll
  • UsukiDoll
can you please answer what is -3 multiplied by y and -3 multiplied by -2x ? i'm not supposed to give direct answers
anonymous
  • anonymous
-3y + 6x
UsukiDoll
  • UsukiDoll
\[\large - (4x-3y+6x)\]
UsukiDoll
  • UsukiDoll
correct... now what's 4x+6x
anonymous
  • anonymous
10x
UsukiDoll
  • UsukiDoll
\[\large - (-3y+10x)\] now distribute the negative
anonymous
  • anonymous
3y - 10x
UsukiDoll
  • UsukiDoll
super! we got that part out of the way... so time to bring back the equation and put that instead of that super long 4x- laallaa
UsukiDoll
  • UsukiDoll
\[\large 9x-6(4x-2(x+2y))-(4x-3(y-2x)) + 14y \] \[\large 9x-6(4x-2(x+2y))+3y-10x+ 14y\]
UsukiDoll
  • UsukiDoll
\[\large -6(4x-2(x+2y)) \] now we deal with this mega parenthesis.. again do the inner () first
anonymous
  • anonymous
-2x -4y
UsukiDoll
  • UsukiDoll
\[\large -6(4x-2x-4y) \]
UsukiDoll
  • UsukiDoll
combine like terms
anonymous
  • anonymous
-24x+12x+24y
UsukiDoll
  • UsukiDoll
ok.. we've distributed ^_^ no problem.. but we still need to combine like terms for x
anonymous
  • anonymous
-12x + 24y
UsukiDoll
  • UsukiDoll
\[\large -6(4x-2x-4y) \] \[\large -6(2x-4y) \rightarrow -12x+24y\] correct now we replace that monster equation we had earlier to this simple one
UsukiDoll
  • UsukiDoll
\[\large 9x-12x+24y+3y-10x+ 14y\]
UsukiDoll
  • UsukiDoll
now we rearrange them ... having all x's first and then y's last
anonymous
  • anonymous
-13x+41y? is this it?
anonymous
  • anonymous
by the way, is it possible that the 1st term be negative? or i should interchange their position like 41y-13x
UsukiDoll
  • UsukiDoll
\[\large 9x-12x+24y+3y-10x+ 14y \] \[\large 9x-12x-10x+24y+3y+ 14y\] \[\[\large 9x-12x-10x+24y+3y+ 14y\] \rightarrow -13x+41y\] well order doesn't matter so you can either have -13x + 41y or 41y -13x
UsukiDoll
  • UsukiDoll
nugh latex nOO! -13x+41y is what I got in the end
anonymous
  • anonymous
thank you very much sensei....
UsukiDoll
  • UsukiDoll
and guess what? I've checked with wolfram alpha and it agrees with us! YAY!
UsukiDoll
  • UsukiDoll
http://www.wolframalpha.com/input/?i=simplify++9x-6%284x-2%28x%2B2y%29%29-%284x-3%28y-2x%29%29+%2B+14y
UsukiDoll
  • UsukiDoll
order doesn't matter ... as long as the numerical values are correct xD....can I get a medal?
anonymous
  • anonymous
how to give a medal? im beginner here
UsukiDoll
  • UsukiDoll
oh you just click on best response on the top left of my postings.
UsukiDoll
  • UsukiDoll
there is a best response button right next to the medal (0)
UsukiDoll
  • UsukiDoll
there we go :)
anonymous
  • anonymous
thank you again sensei....

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