anonymous
  • anonymous
Use the substitution method to solve x^2+2y^2=9 x-y+3=0 can someone show me the steps?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I have already solved this before. You've asked the same question lol, search for the old one ^_^
anonymous
  • anonymous
oh wait, it's different ^^" my bad.
anonymous
  • anonymous
yea the y^2 is throwing me off.

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anonymous
  • anonymous
i came up w/ x=(-1,-3) y=(2,0) but im not sure thats right...
anonymous
  • anonymous
Alright, first of all, call your equations as (a) and (b). Now, let's re-write equation (b) in terms of y and we'll get: y = 3 + x Substitute this equation in (a) and you'll get: \[x^2 + 2(3+x)^2 - 9 = 0\] \[x^2 + 2(3+x)(3+x) -9 =0\] \[x^2 + 2x^2 + 12x + 18 -9 = 0\] \[3x^2 + 12x -9 = 0\] \[(3x-3)(x-9) = 0\] so x = 1 and x =3 Plug these 2 x's in equation b and find the 2 points ^_^ give it a try now :)
anonymous
  • anonymous
k
anonymous
  • anonymous
Your points should be (1,4) and (3, 6) :)
anonymous
  • anonymous
DOn't you mean x = 1 and x = 9
anonymous
  • anonymous
lol right right! >_< thank you :)
anonymous
  • anonymous
wait no!
anonymous
  • anonymous
oh dear , I messed up again the equation should be: (3x-3)(x-3) = 0 instead of (x-9)
anonymous
  • anonymous
so you have x = 1 and x = 3 ^^" sorry lol
anonymous
  • anonymous
plug these in equation (b) and you'll get (1,4) and (3,6) as your points :)
anonymous
  • anonymous
and thank you blexting :)
anonymous
  • anonymous
it wouldnt be (1,4) and (3,12)?
anonymous
  • anonymous
no ,it'll be (1,4 ) and (3,6) I made a silly mistake in the previous last line where I have put: (3x -3)(x-9) = 0 it should be : (3x -3)(x-3) = 0 instead :)
anonymous
  • anonymous
plug x = 3 in the equation and you'll get the other point (3,6) ^_^
anonymous
  • anonymous
ok I see. that x-9 was throwing me off. Thans for your help!
anonymous
  • anonymous
np :) again, sorry for the mess ^^"
anonymous
  • anonymous
Wait. x^2+2x+12+18-9=0 wouldnt this simplify to 3x^2+2x+9=0 ?
anonymous
  • anonymous
you have negative 9
anonymous
  • anonymous
oh right! >_< again sorry lol
anonymous
  • anonymous
yo'll have negative 3 and not 9
anonymous
  • anonymous
Ok I think i have it.
anonymous
  • anonymous
awesome! :)
anonymous
  • anonymous
awesome indeed
anonymous
  • anonymous
:)
anonymous
  • anonymous
when i solve I keep coming up with x=(-1,-3) y=(2,0)?
anonymous
  • anonymous
y=2 and x=1
anonymous
  • anonymous
or y=0 and x=3
anonymous
  • anonymous
yes! excellent js! :)
anonymous
  • anonymous
I'll give you a star ^_^
anonymous
  • anonymous
truly excellent...
anonymous
  • anonymous
a star from me too
anonymous
  • anonymous
lol ^_^
anonymous
  • anonymous
i mean y=0 and x=-3
anonymous
  • anonymous
lol abigail :)
anonymous
  • anonymous
i know what you mean, dont wory
anonymous
  • anonymous
thank you for your support too ^_^
anonymous
  • anonymous
you know what I mean?
anonymous
  • anonymous
i know what i know
anonymous
  • anonymous
so, what did I mean?
anonymous
  • anonymous
I know what you know I know
anonymous
  • anonymous
._. ...now I don't even know what I have said
anonymous
  • anonymous
i know you dont know what you think you dont know
anonymous
  • anonymous
I don't even know what I know now x_x
anonymous
  • anonymous
LOL, stop my head is spinning! @_@
anonymous
  • anonymous
Well guys i know i appreciate the help:)
anonymous
  • anonymous
np js :)
anonymous
  • anonymous
i know it is
anonymous
  • anonymous
I don't even know what is what right now, but I do know that the word "know" sounds funny nowx_x
anonymous
  • anonymous
just say "know" 29 times out loud, and then pause for 5 sec, and say it again, and i promisse, it will sound weird
anonymous
  • anonymous
LOL
anonymous
  • anonymous
go finish your 5 $ work =P
anonymous
  • anonymous
finished all the orders already
anonymous
  • anonymous
made a fortune
anonymous
  • anonymous
atleast you had fun :)
radar
  • radar
This solution was very difficult to follow. I hope js14 understands the final answer is x=-3, y=0

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