anonymous
  • anonymous
solve using substitution! (can you please also draw out how you got the answer? thanks everyone! c: ) thanks all! :) x-3y=-12 2x+y=11
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jim_thompson5910
  • jim_thompson5910
Are you able to isolate y in the equation `2x+y=11` ?
jim_thompson5910
  • jim_thompson5910
or you can isolate x in `x-3y=-12`
triciaal
  • triciaal
@unicornandmarshmellows if you really need help you need to stay on long enough to get the response and to participate. we are not here to do your work

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triciaal
  • triciaal
@unicornsandmarshmellows
anonymous
  • anonymous
yeah sorry i just hopped on really quick to post the question, (i wasn't just going to leave it hang) now im here !
anonymous
  • anonymous
also thanks @jim_thompson5910 ! i'll work it out from there :)
jim_thompson5910
  • jim_thompson5910
ok tell me what you get
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
am i on the right track?
jim_thompson5910
  • jim_thompson5910
why not solve for x in the first equation? it's much easier and doesn't involve fractions
anonymous
  • anonymous
oh okidoke then hold on for a second c:
anonymous
  • anonymous
|dw:1447634956866:dw|
jim_thompson5910
  • jim_thompson5910
much better
jim_thompson5910
  • jim_thompson5910
so x = -12+3y or x = 3y - 12
jim_thompson5910
  • jim_thompson5910
now turn to the second equation 2x+y=11 replace each 'x' with either -12+3y or 3y-12 then solve for y
anonymous
  • anonymous
oh okidoke i see ! :)
anonymous
  • anonymous
can i try and see what i get and then run it to you for a quick run-through?
jim_thompson5910
  • jim_thompson5910
sure that sounds like a good plan
anonymous
  • anonymous
this is what i got for this problem @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
The part where you went from `2(-12+3y)` to `-24+3y` is incorrect. You forgot to distribute the 2 to EVERY term inside the parenthesis
anonymous
  • anonymous
oh ohh okidoke i see i'm going to fix that and brb!
anonymous
  • anonymous
wait i thought were supposed to only combine the like terms?
jim_thompson5910
  • jim_thompson5910
what do you mean?
anonymous
  • anonymous
like when you distribute the 2 throughout the equation, you would only combine the 2 and the 12 because they are like terms, while the 3 gets left out because its not just "3" its "3y"
jim_thompson5910
  • jim_thompson5910
you might be mixing up two different ideas? when you distribute, you multiply the outer 2 by each term inside 2 times -12 = -24 2 times 3y = 6y so `2(-12+3y)` becomes `-24+6y`
anonymous
  • anonymous
I think i might too lol and okidoke gotcha!
jim_thompson5910
  • jim_thompson5910
here's another way to look at it `2(-12+3y)` is really `(-12+3y)+(-12+3y)` similar to how `2x = x+x` so... (-12+3y)+(-12+3y) = (-12+(-12)) + (3y+3y) = -24 + 6y
anonymous
  • anonymous
i wish i could double medal, :) okidoke i hear you man c:
anonymous
  • anonymous
now i got x=3 and y=5!
jim_thompson5910
  • jim_thompson5910
Let's check that possible answer Checking equation 1 x-3y=-12 3-3*5=-12 ... replace x with 3 and replace y with 5 3 - 15=-12 -12=-12 ... true Checking equation 2 2x+y=11 2*3+5=11 ... replace x with 3 and replace y with 5 6+5=11 11 = 11 ... true both equations are true when (x,y) = (3,5) so the answer is confirmed to be true
anonymous
  • anonymous
awesome! thanks so much for the help man! :D i appreciate it !
jim_thompson5910
  • jim_thompson5910
you're welcome

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