Systems of equations with elimination (and manipulation) | High School Math | Khan Academy

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  • เผยแพร่เมื่อ 20 ส.ค. 2024
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    In some cases, we need to slightly manipulate a system of equations before we can solve it using the elimination method. So how it's done in this video. Created by Sal Khan.
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ความคิดเห็น • 96

  • @kefifixelhua7936
    @kefifixelhua7936 8 ปีที่แล้ว +44

    Finally, Khan Academy makes everything so much easier than hearing a math teacher in my school explain in some random gibberish and then ask us to do an example after 10 seconds and then the next day moving to some different lesson. This will totally save my grades, since I have a Math midterm exam on Friday

  • @joshthies6194
    @joshthies6194 7 ปีที่แล้ว +9

    I am in 8th grade and we learned this this is going to help me a lot in my finals thanks so much your the best

  • @thecowman4881
    @thecowman4881 10 ปีที่แล้ว +30

    you saved my grades

  • @xRABEE123x
    @xRABEE123x 13 ปีที่แล้ว +8

    OMG! THANK YOU SOOOO MUCH
    All the other tutorials were for adding and subracting and i taught thos were the only two ways you could do it and my exam is tommrow
    THANK YOUUUUUU!!!!

  • @ev7227
    @ev7227 4 ปีที่แล้ว +5

    *mAsSaGe* the equation

  • @mach5491
    @mach5491 7 ปีที่แล้ว +32

    Its three am I have a math test today and I am ready to die

  • @polkadotocean4000
    @polkadotocean4000 10 ปีที่แล้ว +77

    This is so helpful! My math teacher is a complete idiot!

  • @nickboudreau821
    @nickboudreau821 11 ปีที่แล้ว +4

    very helpful! you explained it better than my teacher ever could

  • @mikan1944
    @mikan1944 6 ปีที่แล้ว +1

    Yes! You saved the day again Khan Academy! I dunno why I can't understand my Math teacher lol.

  • @yafetteshome9515
    @yafetteshome9515 7 ปีที่แล้ว +1

    Ya if you add it you are right but he used subtraction that is why 5x - 15x gave him -10x but if you use addition it would give you a whole different answer so he made a mistake. I guess !!

  • @Xbunnixxkilled
    @Xbunnixxkilled 10 ปีที่แล้ว +6

    Super helpful

  • @Bunniculaable
    @Bunniculaable 11 ปีที่แล้ว +2

    omg i forgot i had this app and i was really struggling!!

  • @victoriaadolphe1013
    @victoriaadolphe1013 6 ปีที่แล้ว +4

    Thank the lord for kan Academy!!👍👍

  • @nathanielaltman367
    @nathanielaltman367 7 ปีที่แล้ว +3

    It would probably be easier to find either x or y for either equation and then just plug into the other equation.

    • @sakikogookheng
      @sakikogookheng 3 ปีที่แล้ว

      Yeah he's also covered substitution in one of the previous videos. Think he's just showing other methods

  • @therealg1478
    @therealg1478 7 ปีที่แล้ว +2

    You saved my life

  • @sur33no78
    @sur33no78 6 ปีที่แล้ว +2

    You just saved me from a 0 on my homework

  • @animesoulstar
    @animesoulstar 11 ปีที่แล้ว

    I love this man i would not be passing algebra with out him

  • @jellie1443
    @jellie1443 8 ปีที่แล้ว +3

    THANK YOU!

  • @Matt_Xeno
    @Matt_Xeno 2 ปีที่แล้ว

    Bro you are my math teacher

  • @CossZt6
    @CossZt6 7 ปีที่แล้ว +1

    Is there any way to predict for which variable to solve first? Sometimes I need to solve complex circuits and I end up with three or four equations. However, it can sometimes be a bit difficult to choose the fastest path and trying out different paths takes some extra time, which isn't a very good thing.

  • @JohnnyCashisone
    @JohnnyCashisone 11 ปีที่แล้ว +2

    Neither can mine. They need to get rid of MOST of the teachers and just use TH-cam for all the classes!

  • @AbbyAlex13
    @AbbyAlex13 12 ปีที่แล้ว

    thank you so much for this homework help, i think i finally get it!!!

  • @zionfultz8495
    @zionfultz8495 ปีที่แล้ว

    me watching sal solve the second equation by multiplying the top by 7 and the bottom by -5 and adding after I solved by adding the top and bottom after multiplying the top by 3/7 (I still got the right answer, but there were a lot more fractions)

  • @Stenbeck-lu2rw
    @Stenbeck-lu2rw 10 ปีที่แล้ว +10

    What is the software that you use? I want to be able to do this on my own computer.

    • @thedesireguardian2470
      @thedesireguardian2470 7 ปีที่แล้ว +3

      honestly i think this is just ms paint or something like that (yes i know this comment is 3 years old xD)

    • @goldbedvids8580
      @goldbedvids8580 3 ปีที่แล้ว

      he says scratchpad a few times whatever that is

  • @neydahnajeeb1906
    @neydahnajeeb1906 8 หลายเดือนก่อน

    where this 20 by 4 came from in the second last step? if thats was from addition where this 15 by 4 again came from when they were added at the top??

  • @benjaminlowe5057
    @benjaminlowe5057 9 ปีที่แล้ว

    This was really helpful. Thankyou!

  • @mikeheth
    @mikeheth 13 ปีที่แล้ว

    @JonasM108 I did the same thing. It just so happens that in this problem, 5/4 is the answer for both x and y.

  • @fabiososo
    @fabiososo 6 ปีที่แล้ว

    Thank you Khan

  • @CCV334
    @CCV334 14 ปีที่แล้ว +2

    DAMN 'IT TH-cam an error occurred please try again later

  • @smartmike100
    @smartmike100 11 ปีที่แล้ว

    thank you for posting this

  • @jdhdhhdhdh6503
    @jdhdhhdhdh6503 4 ปีที่แล้ว

    thank you for the helpful vids

  • @TheChapinLife
    @TheChapinLife 12 ปีที่แล้ว

    THANKS

  • @seanps2dude
    @seanps2dude 11 ปีที่แล้ว +6

    your voice is like butter being rubbed against my ears.

  • @trionmeerwald3578
    @trionmeerwald3578 ปีที่แล้ว +1

    khan academy isnt it wrong
    dont we need to get the coefficent of y for the 2nd equation as -10 since the coefficent of y in the 1st equation is -10 i dont know if i am right just telling

    • @jonwill
      @jonwill 8 หลายเดือนก่อน

      If the equations were subtracted you would be correct. -10y (-) -10y = 0. But the equations were 'added'. So -10y + 10y = 0.
      .

  • @seanps2dude
    @seanps2dude 11 ปีที่แล้ว

    thats a good point. not spam

  • @mingz83
    @mingz83 3 ปีที่แล้ว

    Good evening, please kindly double check at 10:03 part, you said 3 X 5/4 is equal 15/4 , please correct it, it is 17/4 , by the way, thanks for great videos, I truly appreciate you.

  • @mightyboogster5313
    @mightyboogster5313 7 ปีที่แล้ว

    what do I do with equations that start with a singular y for example y=2x-3 and the other one would be y=x+4

  • @jfg1237
    @jfg1237 9 ปีที่แล้ว

    THANK YOU! 😺🙏

  • @michaelreyes29
    @michaelreyes29 8 ปีที่แล้ว +1

    I dont get it..

  • @Slayn
    @Slayn 7 ปีที่แล้ว

    thank you

  • @sheri-san8046
    @sheri-san8046 3 ปีที่แล้ว +1

    What do I do if both are just y and x for example, -x+y=5?

    • @nocturnalvisionmusic
      @nocturnalvisionmusic 9 หลายเดือนก่อน

      For this you would just multiply the entire equation by -1:
      -1 • (-x) + -1(y) = -1•5
      Which would leave:
      x-y = -5
      Then solve as usual.
      Three years later but I hope this helps anyone else :)
      Happy Thanksgiving too (11/23/23)

    • @jonwill
      @jonwill 8 หลายเดือนก่อน +1

      @@nocturnalvisionmusic The video is solving systems of equations with the 'elimination' method. This viewer's question would need guidance on solving with the 'substitution' method. For example: [solve for x in terms of y] yields x=y+5
      then solve for y with the new x identity [y+5+y=5] yields y=0, Now solve for x using this y value yields x = -5. So the original equation post substitutions would read: -(-5)+0=5 yielding 5=5. I too hope you had a Happy Thanksgiving!
      And please excuse the turkey on my breath. 😊

    • @nocturnalvisionmusic
      @nocturnalvisionmusic 8 หลายเดือนก่อน

      @@jonwill that's a good explanation! Thank you too :)
      Happy Thanksgiving 2023 to you :D

  • @goldielemorin1471
    @goldielemorin1471 11 ปีที่แล้ว

    Thank you so muchhhh

  • @gamo5342
    @gamo5342 6 ปีที่แล้ว +1

    I stg if there r fractions on my test tomorrow somebody is gonna get hurt

  • @diobolic6581
    @diobolic6581 7 ปีที่แล้ว +1

    How would you solve this with y=4x+1 and x+y=15?

    • @rampranavnavendran8330
      @rampranavnavendran8330 6 ปีที่แล้ว +1

      u take 4x to the left hand side and use substituition

    • @diobolic6581
      @diobolic6581 6 ปีที่แล้ว +1

      Thanks bud, only 2 months late

  • @FascinateMyBeing
    @FascinateMyBeing 12 ปีที่แล้ว

    i get it now!

  • @Kagimine
    @Kagimine 13 ปีที่แล้ว

    Wow! This helped me so much!! Thanks for posting this~!
    ... The pretty colors helped, too. ^-^

  • @yafetteshome9515
    @yafetteshome9515 7 ปีที่แล้ว +1

    Wouldn't subtracting -10y by +10 give you a -20

    • @mollychen9567
      @mollychen9567 7 ปีที่แล้ว +1

      he's adding not sutracting

  • @skurlb
    @skurlb 13 ปีที่แล้ว

    I understand

  • @jodikennedy4338
    @jodikennedy4338 3 ปีที่แล้ว

    This is terribly confusing. I have some recollection of this from highschool where i was good at it and enjoyed it very much but the recollection of this does not help my understanding of it now.

  • @veronicasmith4680
    @veronicasmith4680 7 ปีที่แล้ว

    I am more confused than ever. The fractions threw me off.

  • @seanps2dude
    @seanps2dude 11 ปีที่แล้ว

    refresh

  • @Maxxy03
    @Maxxy03 3 ปีที่แล้ว

    I’m watching this during my teachers office hours rn and she being so loud and I cant hear anything wtf-

  • @martinmaillard9032
    @martinmaillard9032 ปีที่แล้ว

    salut les gens qui viennent d'euro

  • @MentsAMV
    @MentsAMV 9 ปีที่แล้ว

    Thank You know online school doesn't mean staying up till midnight doing HW thank you I also proved my dad wrong 2! he thinks he knows it all... he only doesn't know one thing... he doesn't know all the crap in da world!!!!!

  • @babyteen144
    @babyteen144 11 ปีที่แล้ว +1

    Shit*

  • @Babybashog
    @Babybashog 6 ปีที่แล้ว +3

    none of these videos help its not just this one its everyone one them im not saying there bad but my teachers just wants us to suffer

    • @Babybashog
      @Babybashog 6 ปีที่แล้ว +1

      this video helps but at the same time it dose not you know what i mean

    • @Babybashog
      @Babybashog 6 ปีที่แล้ว +1

      sorry for going on that rant this actually help its just that i have a hard time and finals are tomorrow

  • @mggmg4446
    @mggmg4446 8 ปีที่แล้ว +11

    who invented this crap

    • @moongoddess3031
      @moongoddess3031 8 ปีที่แล้ว +11

      Let's just hope they're long gone by now because I don't need anymore of this crap in my life.

    • @thepinkshow626
      @thepinkshow626 7 ปีที่แล้ว +2

      Moon Goddess lol😁

    • @luhhdrey8680
      @luhhdrey8680 5 ปีที่แล้ว +1

      Foreal

  • @inFamousCeRea1
    @inFamousCeRea1 11 ปีที่แล้ว

  • @danielkwong933
    @danielkwong933 7 ปีที่แล้ว

    memes