Art of Problem Solving: Systems of Linear Equations with Three Variables

Art of Problem Solving's Richard Rusczyk solves a system of three equations with three variables.
Learn more: bit.ly/ArtofProblemSolving

Пікірлер: 197

  • @meow9426
    @meow94266 жыл бұрын

    This is so helpful. Next time I go to the grocery store to buy shit ill use linear systems with 3 variables to figure out if my tomato soup is boneless

  • @nonutkyle5363

    @nonutkyle5363

    5 жыл бұрын

    LMAOO

  • @ran-vc4wt

    @ran-vc4wt

    5 жыл бұрын

    i saw in that one video-

  • @roxannamendoza3402
    @roxannamendoza34028 жыл бұрын

    This is so much easier than the way my teacher taught it to me. I would take 20 minutes or so to just answer one question. Organizing the equations with letters makes it better to understand. Thank you for the help!

  • @TOILETSMELLER13
    @TOILETSMELLER139 жыл бұрын

    Yeah I'm still so confused.

  • @DeBellanadi

    @DeBellanadi

    9 жыл бұрын

    haha me too , it makes sense but the fact that it can go more than one way , its confusing !

  • @mojicaw2

    @mojicaw2

    9 жыл бұрын

    let's accept the fact that, we all have to go through this problem or else ..

  • @abdulhalim520

    @abdulhalim520

    9 жыл бұрын

    Guys, don't be despondent. This problem has many methods to solve, but the two I use are used in calculus and are very effective. .Firstly, find the equation in A and B, which produces D, if you like. .Then find the equation in A and C, which produces E. .Then find the solution to one of the variables using D and E. .Use solution gained from D and E and substitute it in either D or E, which will give you the solution to the second variable. Now, that you have found the two variables, the rest is easy. .Substitute them into the original equation(A or B), which will produce the solution for the last variable.

  • @snshusat161

    @snshusat161

    7 жыл бұрын

    hard to believe that anybody can be confused over this simple method.

  • @bkcovers1184

    @bkcovers1184

    6 жыл бұрын

    Shub it’s not simple to me

  • @Zayistan
    @Zayistan10 жыл бұрын

    I thought that was Nicholas cage

  • @prafulsakore5752

    @prafulsakore5752

    6 жыл бұрын

    Zaynab Ahmad I also feel same thing😂

  • @mandisamcrae2852

    @mandisamcrae2852

    5 жыл бұрын

    I laughed way too hard at this.

  • @alexwang982

    @alexwang982

    5 жыл бұрын

    He’s richard

  • @salmanrajon4808

    @salmanrajon4808

    4 жыл бұрын

    😂😂

  • @hilal1433

    @hilal1433

    3 жыл бұрын

    Really carbon copy

  • @anaklusmosgreek3198
    @anaklusmosgreek31987 жыл бұрын

    You are like Steve from blue's clues and i appreciate for you breaking it down for me

  • @TheNamesWolf
    @TheNamesWolf10 жыл бұрын

    I love how you tried to combine art with math. Its like combining war and peace.

  • @liz12276
    @liz122765 жыл бұрын

    YOU ROCK. I’m a tutor, I needed a refresher, your method did the trick!

  • @declanpeters3305
    @declanpeters33055 жыл бұрын

    Love this video! You explain it much more simply than my math teacher.

  • @SenseOffenseStudios
    @SenseOffenseStudios9 жыл бұрын

    Math by Nic Cage

  • @Ray-fi4oc

    @Ray-fi4oc

    9 жыл бұрын

    My thoughts exactly: made it so much more entertaining!

  • @MarshmallowLovesDano
    @MarshmallowLovesDano8 жыл бұрын

    omg HAHAHAHAHAHHAAHA that was my exact reaction when i first saw that freaking question...

  • @creampuff966

    @creampuff966

    7 жыл бұрын

    lol saaaaaaammme

  • @michaelriad4272
    @michaelriad42729 жыл бұрын

    Great Work, you're enthusiasm matched with the simplicity of you're explanations helped me understand it with ease. Thank you so much :)

  • @kennethcramm6115
    @kennethcramm61159 жыл бұрын

    A great video that shows students how to keep track of the information inside these types of questions. That skill must be mastered to confidently solve systems. I request you add the ordered pair solution of (x, y, z) as the final form; a point in space.

  • @shariqueahmed8111
    @shariqueahmed81117 жыл бұрын

    i love your energy in this long boring solution, as u said its a tip of the iceberg

  • @belleobura
    @belleobura8 жыл бұрын

    you are my actual saviour, love you man

  • @kdj94
    @kdj944 жыл бұрын

    This is actually my first time commenting on a KZread video Thank you very much for explaining

  • @qiarramartinmyers3355
    @qiarramartinmyers33559 жыл бұрын

    EXTREMELY helpful. Thank you !

  • @Bilbus7
    @Bilbus77 жыл бұрын

    YES! this video was perfect. So easy to follow!

  • @thecuteangel777
    @thecuteangel7779 жыл бұрын

    Thank you so much! I appreciate your help!!

  • @willbegood2012
    @willbegood20129 жыл бұрын

    very nice illustration. Thanks a lot...

  • @gunsmoke5580
    @gunsmoke55807 жыл бұрын

    So helpful... Teacher went over this shit way too fast. Could understand anything she said.

  • @majorjnr1880
    @majorjnr18806 жыл бұрын

    you are the great lecture cause you made me think like we are leaning together .thumbs up

  • @marioansong3675
    @marioansong36755 жыл бұрын

    can you substitute numbers you get at the beginning into any other equation to find x or y?

  • @Chubimaster343
    @Chubimaster34311 жыл бұрын

    Thanks so much, 'twas excellent. Now I'm gonna watch it again to make sure I'm good on the subject

  • @billychelagat3835
    @billychelagat38356 жыл бұрын

    Thanks Richard...May God bless you.

  • @eu_lyr1cal407
    @eu_lyr1cal4076 жыл бұрын

    thank you so much this helped me immensely with my year 9 home work

  • @castiron1973
    @castiron197311 жыл бұрын

    Great! Thanks, very easy to follow!

  • @animeshbarve8564
    @animeshbarve85646 жыл бұрын

    👍👍 thank you sir your way of explanation is great

  • @xyomaramendezhernandez4676
    @xyomaramendezhernandez46765 жыл бұрын

    How do you know which number to multiply each equation at the beginning?

  • @shaun7096

    @shaun7096

    5 жыл бұрын

    Xyomara Mendez Hernandez I know it’s probably too late now but you multiply it by whatever number will help you get rid of a variable

  • @chiragm9695
    @chiragm96955 жыл бұрын

    Thank you ,it was simple and amazing 🔥🔥

  • @basic_Handle
    @basic_Handle6 жыл бұрын

    I like ur board & I like ur way of teaching.

  • @justintime89
    @justintime8911 жыл бұрын

    Thank you!! Crystal clear!

  • @TomDensley
    @TomDensley2 жыл бұрын

    Best video on the subject! Thanks

  • @armeniancinematiclegacy994
    @armeniancinematiclegacy9946 жыл бұрын

    Great teacher and actor!!!

  • @kgonzalez5458
    @kgonzalez54587 жыл бұрын

    first time seeing your video but it's great helped a lot and couldn't help think that I'm watching blues clues for math

  • @stedis7259
    @stedis72593 жыл бұрын

    What an amazing teacher

  • @jomarbonje3496
    @jomarbonje34965 жыл бұрын

    Great sir! Now I understand thanks.

  • @janetteharris3477
    @janetteharris34779 жыл бұрын

    Best out there!!Awesome!! Thank you!!

  • @sammylee1895
    @sammylee18956 жыл бұрын

    How do you now which equations to sub in X, Y, and Z after you found one of the variables?

  • @constantineq643

    @constantineq643

    2 жыл бұрын

    You could use any of the equations for substituting tha variables, he just chose the one that looked easiest and went with it.

  • @michaellopez9962
    @michaellopez996210 жыл бұрын

    you talk to me like im 5 years old

  • @brax9062

    @brax9062

    6 жыл бұрын

    Michael Lopez to be fair they do teach this at a young age

  • @reteach8272

    @reteach8272

    5 жыл бұрын

    im already 18... but i understand things better when they treat me like a kid

  • @butterfly99899

    @butterfly99899

    4 жыл бұрын

    @@reteach8272 me too bro 🤣🤣

  • @soheibdissa9991
    @soheibdissa99912 жыл бұрын

    This helped a lot!

  • @dewanshsingh2384
    @dewanshsingh23845 жыл бұрын

    really helpful, thanks

  • @fijit4
    @fijit48 жыл бұрын

    are there any rules about which equation is added or subtracted from which? like, do you have to add or subtract all equations from the same first one? a-b and a-c?

  • @creampuff966

    @creampuff966

    7 жыл бұрын

    You can use any combination of equations and you'll still get the same answer. You can use a-c and a-b, or b-c and a-b. Whatever works for you :)

  • @KhrystaPlays
    @KhrystaPlays9 жыл бұрын

    Loved it!

  • @slewis9647
    @slewis96479 жыл бұрын

    omg thank you so much. Bless your heart for making this video!

  • @HexFire03lmao
    @HexFire03lmao4 жыл бұрын

    0:10 new meme format

  • @sarwaranwar3485
    @sarwaranwar34855 жыл бұрын

    what if coefficients of variables are also in the form of a b and c like a1x+b1y+c1z ,a2x+3b2y+3c2z and a3x+b3x+c3x

  • @naraechunsa
    @naraechunsa10 жыл бұрын

    thank you !!

  • @huai805
    @huai8056 жыл бұрын

    Thanks a lot

  • @manuelvaltierra2105
    @manuelvaltierra21059 жыл бұрын

    This helps a lot

  • @panndorasbox
    @panndorasbox10 жыл бұрын

    what kind of screen or tv or aftereffect you using to wright on screen?

  • @mr.snoopyscoops28

    @mr.snoopyscoops28

    5 жыл бұрын

    A smart board I guess in my school teachers use it to teach and sometimes use the black borad

  • @donaldbiden7927
    @donaldbiden79274 жыл бұрын

    Atleast there are 3 equations and 3 variables... we have 1 equation and 2 variables in number theory (along with another constraint like all solutions are integers)

  • @magick2006
    @magick20066 жыл бұрын

    WOULD B and C work as well instead of A and C?

  • @narushio3
    @narushio310 жыл бұрын

    how do you know if a system of linear equation has no solutions, infinite solutions, or one solutions?

  • @shababanjum1129
    @shababanjum112911 жыл бұрын

    Whats that thing u r using to write?

  • @sagnikdey2465
    @sagnikdey24657 жыл бұрын

    Awesome video. But also, are you familiar with someone by the name Nicholas Cage?

  • @ayanochananimations6328

    @ayanochananimations6328

    7 жыл бұрын

    Sagnik Dey I'm not the only one!!! XD

  • @sergiogutierrez9878
    @sergiogutierrez987810 жыл бұрын

    Very Helpful :)

  • @yasminbedrosyan8987
    @yasminbedrosyan89878 жыл бұрын

    great way

  • @katherinehuynh2134
    @katherinehuynh21349 жыл бұрын

    Can u become my new math teacher 😁😁😁😁 video explained everything thxxxx

  • @Devansh_Gulabwani_
    @Devansh_Gulabwani_5 жыл бұрын

    Thank u so much sir .

  • @viktorsapundziovski6751
    @viktorsapundziovski67517 жыл бұрын

    Thank yoooou soo much!!

  • @kahalamathvidz
    @kahalamathvidz11 жыл бұрын

    thank you so much man

  • @xEpTICSHOTZz
    @xEpTICSHOTZz7 жыл бұрын

    Thank you so much!

  • @diorrat..0

    @diorrat..0

    3 жыл бұрын

    Swag

  • @PanookyDooky
    @PanookyDooky7 жыл бұрын

    what about if I have to find "m" . Like the system: 2x+y+z=0 , x-y+mz=o, 3x+y+3xz=0 ?

  • @farheenislam568
    @farheenislam5686 жыл бұрын

    Thank you so much ^_^

  • @ayanochananimations6328
    @ayanochananimations63287 жыл бұрын

    not gonna lie the thumbnail makes him look like Nicholas Cage teaching math XD

  • @mr.danielolivobapctcna8322
    @mr.danielolivobapctcna832211 жыл бұрын

    You're terrific. It was entertaining.

  • @MuhammadTalha
    @MuhammadTalha7 жыл бұрын

    thnx a lot

  • @darwindelaisla5343
    @darwindelaisla53436 жыл бұрын

    I don't know. But how is it -z? 5z+-6z= -z in terms of -1z?

  • @hashimalsebaie4939
    @hashimalsebaie493910 жыл бұрын

    Thanks

  • @jassxoxo1317
    @jassxoxo13177 жыл бұрын

    I DONT GET IT

  • @bdeshiguy

    @bdeshiguy

    6 жыл бұрын

    JasS Xoxo I can help u

  • @varenyagupta3012

    @varenyagupta3012

    5 жыл бұрын

    @@bdeshiguy you are an year late

  • @alexwang982

    @alexwang982

    5 жыл бұрын

    Lol

  • @shahibnulsadekwafi6367
    @shahibnulsadekwafi63677 жыл бұрын

    What if u only have 2 equations, can u derive a third one?

  • @hazimhidayat8886
    @hazimhidayat88864 жыл бұрын

    this guy solves better than what my textbook show

  • @Snowwydaydreamr
    @Snowwydaydreamr9 жыл бұрын

    Thank you ;~;....

  • @Crazy2Crack
    @Crazy2Crack5 жыл бұрын

    Thanks sir

  • @jacobsanchez1587
    @jacobsanchez15876 жыл бұрын

    Can I just row echelon it?

  • @erljencalinawan9706
    @erljencalinawan97066 жыл бұрын

    What about if it's nonlinear?

  • @AwesomeNX
    @AwesomeNX6 жыл бұрын

    Thanx dude

  • @user-dl8ux4up6m
    @user-dl8ux4up6m5 жыл бұрын

    good!!

  • @kimcharlenetyne1982
    @kimcharlenetyne19828 жыл бұрын

    is it just me or does your plug in for B not calculate i get - 5(3)-2(7)+4(-8) = -31 not 25?? But A & C work out ok (confused!!)

  • @garrettsmiley4408
    @garrettsmiley440810 жыл бұрын

    I like you. You are getting a new subscriber.

  • @mmoproductions6217
    @mmoproductions62176 жыл бұрын

    this dude looks nothing like nicholas cage...

  • @wesleynation8597
    @wesleynation85978 жыл бұрын

    why did you multiply equation E by -3?

  • @appleheadjackson3524

    @appleheadjackson3524

    7 жыл бұрын

    Wesley Nation He was canceling out his x's to find his z's

  • @jonahwright
    @jonahwright10 жыл бұрын

    how are you writing on the board?i wanna do it too

  • @SamuelKioEDH

    @SamuelKioEDH

    10 жыл бұрын

    giant ipad

  • @noorashams5027
    @noorashams50274 жыл бұрын

    I loovveee this

  • @skp8933
    @skp89337 жыл бұрын

    good video sir

  • @briannaharin6563
    @briannaharin65638 жыл бұрын

    lol this made it very entertaining thank you

  • @eu_lyr1cal407
    @eu_lyr1cal4076 жыл бұрын

    you are the best

  • @Golaoromoo3
    @Golaoromoo32 жыл бұрын

    Thank you! Tomorrow I have exam

  • @actigraf23
    @actigraf239 жыл бұрын

    Really helpful ! Tip: Do it with him

  • @kwakuappiah9996
    @kwakuappiah99968 жыл бұрын

    you're the best

  • @owonubijobsunday4764
    @owonubijobsunday47647 жыл бұрын

    Video with benefits

  • @MsKamundu
    @MsKamundu10 жыл бұрын

    helped

  • @danielkosznirczuk9703
    @danielkosznirczuk97036 жыл бұрын

    Hello, Can someone please help me with this equation?? I always get lost in the way... e + fn + g = 9 2e + fn + g = 20 9e + fn + g = 37 I can't do it :(

  • @diorrat..0

    @diorrat..0

    3 жыл бұрын

    I think- (I’m not sure) (9e + fn + g) - (2e + fn + g) = 37 - 20 (9e - 2e) + (fn - fn) + (g - g) = 17 7e = 17 e = 17/7 Substitute e. 17/7 + fn + g = 9 Multiply 7 on both sides 17 + fn + g = 63 fn + g = 63 - 7 = 56 g = 56 - fn Substitute again into any equation you like. Check your work

  • @diorrat..0

    @diorrat..0

    3 жыл бұрын

    Just realized it was 3 years ago lol

  • @Sauce-ke
    @Sauce-ke3 жыл бұрын

    instead of using letters like D,E,F,G, I suggest you to use A1,B1,C1 instead. A lot more letters is more confusing

  • @M_Chen333
    @M_Chen3338 жыл бұрын

    3 is my favorite number.

  • @reborn5448
    @reborn54485 жыл бұрын

    x+3y+3z = -1 2x-y+z =-3 3x+5y+7z=-1 Can you solve this?

  • @stephenbarker8325

    @stephenbarker8325

    5 жыл бұрын

    hi solutions are X = minus 4 Y = minus 2 Z = 3

  • @communistcapybara7727
    @communistcapybara77277 жыл бұрын

    Hi

  • @sspurgatoryx8773
    @sspurgatoryx87736 жыл бұрын

    This was a nightmare in Algebra 2

  • @adeelsadruddin3402
    @adeelsadruddin34023 жыл бұрын

    how to solve if we have zero z lets say?

  • @squishymochi9627
    @squishymochi96275 жыл бұрын

    Whose doing this in Kumon , and came here because they are too bothered to read the example