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How to solve simultaneous equations using the elimination method

On this episode, hackingmaths shows you how to solve two linear equations simultaneously by using the elimination method.
4x + 3y = 15 and 3x - 2y = 7
and then
3x + 2y = 5 and 5x + 7y = 1
If there are any tutorials that you would like to see email us at hackingmaths at gmail dot com and we'll do our best to accommodate you.

Пікірлер: 155

  • @naomioyedepo9613
    @naomioyedepo96138 жыл бұрын

    YOU'RE A LIFE SAVER! This video helped me so much. I have my Algebra EOC tomorrow and I've been trying to learn this method for the past month now. Literallly none of my teachers or friends could explain it to me, so thank you for this amazing video :)

  • @alynkhoma6461

    @alynkhoma6461

    5 жыл бұрын

    explain to me how to find green numbers plz am behind

  • @silxbilx9987

    @silxbilx9987

    4 жыл бұрын

    You cute😐

  • @kel638

    @kel638

    3 жыл бұрын

    @@silxbilx9987 👀👀👀👀

  • @kathrinaw1839
    @kathrinaw18393 жыл бұрын

    THANK YOU THANK YOU!! My teacher is extremely good with math but SO bad at explaining and teaching ways in the easiest form possible. You saved my ass from Unit test tmrw

  • @david-hn3qw

    @david-hn3qw

    3 жыл бұрын

    howd it go

  • @vaughnknight968
    @vaughnknight9682 жыл бұрын

    In all my 32 years I have never seen simultaneous equations expalined so seamless, thank you.

  • @hibakibrahim2071
    @hibakibrahim20715 жыл бұрын

    You are an absolute legend. All the other videos on simultaneous equations talks about adding, taking away, dividing and multiplying but no body cares to explain why they are doing it or where they are getting the numbers from. I can not honestly stress how great full I’m for you this video.

  • @sonata6863
    @sonata68634 жыл бұрын

    excellent video! u explained better than my teacher!

  • @cavalaymcbean7473
    @cavalaymcbean74733 жыл бұрын

    Thanks alot this video was really helpful.

  • @bohlaledube5740
    @bohlaledube57403 жыл бұрын

    Thanks so much is people like you who stop us from quitting Mathematics

  • @mwandaondele9771
    @mwandaondele97713 жыл бұрын

    THIS HELPED ME ALOTTTTTT !!!!

  • @grubbiechirp5695
    @grubbiechirp56954 жыл бұрын

    Thanks so much! My teacher doesn’t even bother with teaching the kids anymore since they’re always so noisy. This helps a lot!

  • @Rohit.2126
    @Rohit.21265 жыл бұрын

    Great tutorial

  • @Wannamm
    @Wannamm4 жыл бұрын

    You help a lot!

  • @theresasutherland3410
    @theresasutherland34106 жыл бұрын

    thank you for your thorough explanation always found elimination method a bit more challenging.

  • @tristanfeinauer
    @tristanfeinauer6 жыл бұрын

    have no words to describe how happy I am right now.thank you so much!

  • @thv_kimtaehyung1989
    @thv_kimtaehyung19893 жыл бұрын

    Thank you so much, this is very helpful video for me.

  • @chee5430
    @chee54305 жыл бұрын

    OMG YOU JUST SAVED MY LIFE!!!!!! I have maths homework and i have no idea how to do, until i came across this video. I'm not gonna have to see my principal for not doing homework now! yay! thank you so so much

  • @mjackson4900
    @mjackson49004 жыл бұрын

    Thank You.... I now understand why we have to eliminate y or x

  • @chonaalala7144
    @chonaalala71443 жыл бұрын

    Good work

  • @pakiinatrackie1787
    @pakiinatrackie17874 жыл бұрын

    you. are. a. legend.

  • @solomomlowenfield4036
    @solomomlowenfield4036 Жыл бұрын

    You teach better than my maths teacher

  • @makchandure7878
    @makchandure78784 жыл бұрын

    Sir ,which software you use for representing mathmaical expressions?

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    I wrote that in Adobe Flash.

  • @Alpha-qf3ty
    @Alpha-qf3ty2 жыл бұрын

    I watch this vid at class before my algebra diagnostic tests

  • @melvinhii3698
    @melvinhii36985 жыл бұрын

    9:20 Why is 3x=9 when remove -4?

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    5 жыл бұрын

    To remove -4 you must add 4 to both sides of the equation. That is why you get a 9 on the RHS, and the -4 is removed from the LHS

  • @fearlessclan4438

    @fearlessclan4438

    4 жыл бұрын

    @@hackingmathsOFFICIAL i still sont undertand my question gave me -5 in the position of your -4 what would i put there 10?

  • @musiliagbaje1528

    @musiliagbaje1528

    4 жыл бұрын

    Thank you soooooo much

  • @bot_vision5.07
    @bot_vision5.074 жыл бұрын

    Thanks alot, you helped me save marks on MYE

  • @shabanyerimugabe916
    @shabanyerimugabe9163 жыл бұрын

    Thanks so much we want many more

  • @harveyambrocio9199
    @harveyambrocio91994 жыл бұрын

    Thank you

  • @punajehovamutjavikua9003
    @punajehovamutjavikua90032 жыл бұрын

    i need to ask, at the adding part, are you strictly suppose to add? When i subtracted i used the second equation to double check and it was correct but the first was wrong. when i added, i used the first to double check and it was correct but the second was wrong, please help

  • @amupritu
    @amupritu3 жыл бұрын

    your so underrated so good im lucky i have a algebra test 2maro thanks

  • @koziyfi3163
    @koziyfi31632 жыл бұрын

    ty sir i needed this video for my Kumon work.

  • @ktsu_10
    @ktsu_103 жыл бұрын

    thank you so much i already understand it

  • @mauriziograndi1750
    @mauriziograndi175011 ай бұрын

    Fantastic not because you find the solution which was easy and could be find by inspection in a few seconds. Not for that, but is fantastic for the clarity and your will to pass on the info from your mind to others. Excellent, worth of praise.

  • @moniquedavids8041
    @moniquedavids80415 жыл бұрын

    oh my gosh! you are a genius!! i struggled for a hole year to figure out how to solve it and you come and immediately all my switches are on LOL!! I checked out more videos of other tutors after your session and i wanna vomit! Thank you!!!

  • @jess-mj8gs

    @jess-mj8gs

    4 жыл бұрын

    Monique Davids I guess you need spelling lessons now . *hole

  • @jess-mj8gs

    @jess-mj8gs

    4 жыл бұрын

    @@abdulalazher1283 😂

  • @sulealih367
    @sulealih3673 жыл бұрын

    thank you for thorough explanation

  • @albertloto2160
    @albertloto21604 жыл бұрын

    i have different solution but always same answer. i always multiply both variables like -3(4x+3y=15) 4(3x-2y=7) y=1 x=3

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    That seems more complicated. You already have a negative coefficient. You don't need another one.

  • @katibalikonge3196
    @katibalikonge31964 жыл бұрын

    Cool u saved my life

  • @jabirumuazu5140
    @jabirumuazu5140 Жыл бұрын

    thank you so much, sir. what I don't understand here is that in the second equation why did you put -5 and 3? why not -3?

  • @masterhalim8263
    @masterhalim8263 Жыл бұрын

    Simple explanation. Thanks

  • @amalabdelkader5638
    @amalabdelkader56383 жыл бұрын

    thank you very much i really understand

  • @an1rudh
    @an1rudh7 жыл бұрын

    Thanks for this video... it helped me a lot

  • @ngondiikandorozu1765
    @ngondiikandorozu17655 жыл бұрын

    you are better than math teacher

  • @waqargauher8805
    @waqargauher88055 жыл бұрын

    This helped me allot for my exam thank you so much

  • @adammahmoud1169
    @adammahmoud11695 жыл бұрын

    Why only we kept 5 in negative?

  • @brightflex9752

    @brightflex9752

    5 жыл бұрын

    Because the signs behind the numbers are all positive so we have to multiply one of the equation by negative sign.

  • @ciaranbull8474
    @ciaranbull84743 жыл бұрын

    this really helped thank you so much

  • @alexanderiman4021
    @alexanderiman40216 жыл бұрын

    hey bro thx for the vid it really cleared up some questions I had. your da man!!

  • @__-pl7ln

    @__-pl7ln

    6 жыл бұрын

    Why you hava y1

  • @ngondiikandorozu1765

    @ngondiikandorozu1765

    5 жыл бұрын

    Alexander Iman you are right

  • @maryamshakil
    @maryamshakil4 жыл бұрын

    Thank you you helped me a lot!

  • @kaylalaufeyson8828
    @kaylalaufeyson88283 жыл бұрын

    Thank you so much, this has helped me a lot.

  • @IBelongToJesus-16
    @IBelongToJesus-163 жыл бұрын

    amazing ty so much!!!!

  • @elevatorsfromrobloxbyposword
    @elevatorsfromrobloxbyposword2 жыл бұрын

    Hi there nice video you did, Just want to just ask when there are 2 simultaneous equations and they are all postive how come your using - numbers to solve it ? 7:09

  • @sahanaav_

    @sahanaav_

    5 ай бұрын

    So then, when you're adding both equations, the positive 15x (blue) and negative 15x (red) can cancel each other out. That makes it easier to solve for y

  • @elevatorsfromrobloxbyposword

    @elevatorsfromrobloxbyposword

    5 ай бұрын

    @@sahanaav_ Thanks 👍

  • @murtazaakhlaqee1553
    @murtazaakhlaqee15535 жыл бұрын

    Math magician

  • @nizigcilithsana9036
    @nizigcilithsana90363 жыл бұрын

    Where did you get -5 plz explain

  • @ashikinazhar131
    @ashikinazhar1314 жыл бұрын

    lifesaver. thank you so much!

  • @homebody4035
    @homebody40355 жыл бұрын

    Omg! you just saved my life, thank u so much

  • @novalee5395
    @novalee53955 жыл бұрын

    Thanks a lot

  • @smellyflower11
    @smellyflower119 жыл бұрын

    would you be able to do a video on factoring using the ti 84 plus?

  • @Ej.
    @Ej.7 жыл бұрын

    You made it so easy thanks so much. You really helped me and You took your time to explain every detail.

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    7 жыл бұрын

    Elhadji Fall I'm glad it helped.

  • @husamkashif8115
    @husamkashif81155 жыл бұрын

    Can you please do some oxford d2 new syllabus chapters

  • @jasonjohnson8160
    @jasonjohnson81602 жыл бұрын

    This video was very helpful

  • @christianemdin9843
    @christianemdin98434 жыл бұрын

    Explain why and how did you remove the - 4 to get 9

  • @Ayush-nd1oc

    @Ayush-nd1oc

    4 жыл бұрын

    to remove the negative four he added 4 to make it 0, thus what you do on one side u do to the other resulting in 5+4=9.

  • @heyitsary6303
    @heyitsary6303 Жыл бұрын

    This video literally saved my lifeeeeee. Thank you for making math so easy to understand

  • @vivlangham1994
    @vivlangham19945 жыл бұрын

    Excellent way of teaching this - thank you!

  • @soniamonteiro4920
    @soniamonteiro49203 жыл бұрын

    Helped alot

  • @johhnylollipop1110
    @johhnylollipop11107 жыл бұрын

    this dude saved my ass!

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    7 жыл бұрын

    Johhny Lollipop I'm glad it helped.

  • @johhnylollipop1110

    @johhnylollipop1110

    7 жыл бұрын

    hackingmathsOFFICIAL :)))

  • @ettahaleighton4654
    @ettahaleighton46543 жыл бұрын

    Thank you for taking away my fear of simultaneous equations

  • @teganadams3890
    @teganadams38904 жыл бұрын

    Can I also use equation 2 to find y?

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    You can use eqn 2 to find y. but you then must use eqn 1 to check

  • @lightergh8033
    @lightergh80333 жыл бұрын

    In fact you are really good

  • @salmalubani4424
    @salmalubani44243 жыл бұрын

    I’m trying to study the simultaneous equations before we take it in class.

  • @amrmostafa8128
    @amrmostafa81283 жыл бұрын

    REALLY NICEEEEEEEEEEEEEEEEE USEful life saver :)

  • @randomvidz8742
    @randomvidz87422 жыл бұрын

    Thank you I've been through numerous videos and they seem to never have explained the second bit and I've been always getting it wrong glad I now know

  • @samuelpeterkin9081
    @samuelpeterkin90815 жыл бұрын

    Your a grat maths teacher

  • @alynkhoma6461

    @alynkhoma6461

    5 жыл бұрын

    plz I dont understand on how to find green number

  • @SALLY-zr5ye
    @SALLY-zr5ye4 жыл бұрын

    Well explained thank you so much

  • @sadeemalharbi6049
    @sadeemalharbi60494 жыл бұрын

    You’re truly a LIFESAVER thank you so much I literally understand from the first equation you did 😭💙💙💙💙💙💙💙💙💙💙💙💙💙

  • @ok1k383
    @ok1k3832 жыл бұрын

    Thank you sir

  • @nehap1028
    @nehap10283 жыл бұрын

    Thanks!!

  • @oluwatosinhezekiah3735
    @oluwatosinhezekiah37355 жыл бұрын

    YOU'RE A LIFE SAVER! This video helped me so much. you have help me to know that what i concluded on how to solve equation like this is right. God bless you and may you continue to grow in wisdom. if you don't mind i will like to keep contact with you , like take you as my economics maths lecturer

  • @quincyjones1345
    @quincyjones13452 жыл бұрын

    Why did you choose to change the 5 to -5? What's the concept?

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    6:10 All the coefficients (the numbers in front of the letters) are positive. In this case we are eliminating X, so we need to multiply the first equation by -5 and the second equation by 3. So when we add the equations together we multiply by -5. You could multiply by 5 and subtract the equations but that can cause more confusion.

  • @Connie11069
    @Connie110694 жыл бұрын

    Wow this was so helpful 😍😍. I have a test in few hours and I got it

  • @curro7200
    @curro7200 Жыл бұрын

    Thanks for the last tip

  • @ahmedsalehhassanaseel1355
    @ahmedsalehhassanaseel13555 жыл бұрын

    1000 thanks for your great job, actually it was so difficult for me to do it but now u had taught me very easy way to do it . thank you.

  • @almaharnu
    @almaharnu5 жыл бұрын

    Thank you for this,am now able to work out myself

  • @zaixoxoo
    @zaixoxoo4 жыл бұрын

    9:26 how did you get 3x = 9

  • @samcameron1054

    @samcameron1054

    4 жыл бұрын

    because it was 3x-4=5, 9-4 also equals 5

  • @tawakkalmatovu8

    @tawakkalmatovu8

    4 жыл бұрын

    Hot stuff with jalebies

  • @albertthige1418
    @albertthige14182 жыл бұрын

    Thanks it has helped me alot ttttt

  • @AyushsGoPro
    @AyushsGoPro7 жыл бұрын

    oh you genius!!

  • @ilmanthaqif3687
    @ilmanthaqif36873 жыл бұрын

    i need a quick explaination pls,how did you get 3x = 9 i dont understand when you said if you removes the -4 to get 3x = 9

  • @Eat_Pi

    @Eat_Pi

    3 жыл бұрын

    I'm assuming you understood how he got to: 3x + -4 = 5 Adding a negative number is the same thing as just subtracting so you could simplify it as: 3x - 4 = 5 To solve for X you first want get rid of the -4. So you need to add 4 to both sides of the equation: 3x - 4 = 5 +4 +4 The 4s on the left side cancel out so you're left with: 3x = 9 To solve for x, just divide by 3 on both sides and you get: X=3 Hope that helps! I make videos too so if you ever need more help don't hesitate to ask! ✌️

  • @ilmanthaqif3687

    @ilmanthaqif3687

    3 жыл бұрын

    @@Eat_Pi thx and also ill check you out😄

  • @Jorge3005able
    @Jorge3005able7 жыл бұрын

    thank you so much , you are a genius you made it so easy to understand .

  • @charlottejoyce48
    @charlottejoyce485 жыл бұрын

    You’re literally my lifesaver ! I find these so hard and I can finally do them 🥵

  • @randomdudejusthere8690

    @randomdudejusthere8690

    4 жыл бұрын

    Tots agree 💯 %

  • @MalaikaBashir17
    @MalaikaBashir1723 күн бұрын

    great sir🎉

  • @Clikky.
    @Clikky. Жыл бұрын

    thank you so much

  • @siyasturmheit1114
    @siyasturmheit11143 жыл бұрын

    Thank you, because of you i wont be faling my exams

  • @akshdabhavar1627
    @akshdabhavar16275 жыл бұрын

    Tanks for

  • @odadmalindiwala8509
    @odadmalindiwala85092 жыл бұрын

    how did you get 3x=9 9:28

  • @sqsir5435
    @sqsir54357 жыл бұрын

    is it the same if you have a decimal number for x or y

  • @ngondiikandorozu1765

    @ngondiikandorozu1765

    5 жыл бұрын

    xSXKx-_-swayyvyy no

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    If you have a decimal number, it is best to remove it by multiplying it out. eg 1.5x + 3y = 1 In this case I would multiply everything by 2. So it would become 3x + 6y = 2

  • @jessicaperez7152
    @jessicaperez71522 жыл бұрын

    I keep on getting decimals help me!!!!! Equations: 3x-7y=5 3x+7y=-9 just help me!!!!!

  • @KimbiniGeoffrey-gh5ms
    @KimbiniGeoffrey-gh5ms Жыл бұрын

    Good teacher

  • @olubisiajayi9217
    @olubisiajayi92173 жыл бұрын

    Tnx bro

  • @olivemaina290
    @olivemaina2904 жыл бұрын

    Life saver

  • @victorroberts2016

    @victorroberts2016

    3 жыл бұрын

    Thanks

  • @ali-uf7sc
    @ali-uf7sc5 жыл бұрын

    Mad💯

  • @qrapye
    @qrapye4 жыл бұрын

    Why is it nobody else is using this means and will it always work on similar problems

  • @veniestagourdine3881
    @veniestagourdine38813 жыл бұрын

    This was the easiest ever . Thank you

  • @itsmaria2118
    @itsmaria21183 жыл бұрын

    Thanks

  • @chiomaudeh371
    @chiomaudeh3713 жыл бұрын

    Why must it be eqn 2 to check

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    If we solve and find x, then we use one of the equations to find y and the other equation to check. The reason you use the other equation is that if you have made a mistake, you won't notice that it is wrong if you use the same equation that you used to find y to check. That is why you use one question to find the variable and the other to check.

  • @Fredtheweirdone
    @Fredtheweirdone3 жыл бұрын

    how did you get the 9 9:21

  • @hackingmathsOFFICIAL

    @hackingmathsOFFICIAL

    2 жыл бұрын

    By adding 4 to both sides of the equation 3x -4 = 5 3x -4 + 4 = 5 + 4 3x = 9