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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
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
5 жыл бұрын
explain to me how to find green numbers plz am behind
@silxbilx9987
4 жыл бұрын
You cute😐
@kel638
3 жыл бұрын
@@silxbilx9987 👀👀👀👀
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
3 жыл бұрын
howd it go
In all my 32 years I have never seen simultaneous equations expalined so seamless, thank you.
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.
excellent video! u explained better than my teacher!
Thanks alot this video was really helpful.
Thanks so much is people like you who stop us from quitting Mathematics
THIS HELPED ME ALOTTTTTT !!!!
Thanks so much! My teacher doesn’t even bother with teaching the kids anymore since they’re always so noisy. This helps a lot!
Great tutorial
You help a lot!
thank you for your thorough explanation always found elimination method a bit more challenging.
have no words to describe how happy I am right now.thank you so much!
Thank you so much, this is very helpful video for me.
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
Thank You.... I now understand why we have to eliminate y or x
Good work
you. are. a. legend.
You teach better than my maths teacher
Sir ,which software you use for representing mathmaical expressions?
@hackingmathsOFFICIAL
2 жыл бұрын
I wrote that in Adobe Flash.
I watch this vid at class before my algebra diagnostic tests
9:20 Why is 3x=9 when remove -4?
@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
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
4 жыл бұрын
Thank you soooooo much
Thanks alot, you helped me save marks on MYE
Thanks so much we want many more
Thank you
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
your so underrated so good im lucky i have a algebra test 2maro thanks
ty sir i needed this video for my Kumon work.
thank you so much i already understand it
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.
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
4 жыл бұрын
Monique Davids I guess you need spelling lessons now . *hole
@jess-mj8gs
4 жыл бұрын
@@abdulalazher1283 😂
thank you for thorough explanation
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
2 жыл бұрын
That seems more complicated. You already have a negative coefficient. You don't need another one.
Cool u saved my life
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?
Simple explanation. Thanks
thank you very much i really understand
Thanks for this video... it helped me a lot
you are better than math teacher
This helped me allot for my exam thank you so much
Why only we kept 5 in negative?
@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.
this really helped thank you so much
hey bro thx for the vid it really cleared up some questions I had. your da man!!
@__-pl7ln
6 жыл бұрын
Why you hava y1
@ngondiikandorozu1765
5 жыл бұрын
Alexander Iman you are right
Thank you you helped me a lot!
Thank you so much, this has helped me a lot.
amazing ty so much!!!!
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_
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
5 ай бұрын
@@sahanaav_ Thanks 👍
Math magician
Where did you get -5 plz explain
lifesaver. thank you so much!
Omg! you just saved my life, thank u so much
Thanks a lot
would you be able to do a video on factoring using the ti 84 plus?
You made it so easy thanks so much. You really helped me and You took your time to explain every detail.
@hackingmathsOFFICIAL
7 жыл бұрын
Elhadji Fall I'm glad it helped.
Can you please do some oxford d2 new syllabus chapters
This video was very helpful
Explain why and how did you remove the - 4 to get 9
@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.
This video literally saved my lifeeeeee. Thank you for making math so easy to understand
Excellent way of teaching this - thank you!
Helped alot
this dude saved my ass!
@hackingmathsOFFICIAL
7 жыл бұрын
Johhny Lollipop I'm glad it helped.
@johhnylollipop1110
7 жыл бұрын
hackingmathsOFFICIAL :)))
Thank you for taking away my fear of simultaneous equations
Can I also use equation 2 to find y?
@hackingmathsOFFICIAL
2 жыл бұрын
You can use eqn 2 to find y. but you then must use eqn 1 to check
In fact you are really good
I’m trying to study the simultaneous equations before we take it in class.
REALLY NICEEEEEEEEEEEEEEEEE USEful life saver :)
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
Your a grat maths teacher
@alynkhoma6461
5 жыл бұрын
plz I dont understand on how to find green number
Well explained thank you so much
You’re truly a LIFESAVER thank you so much I literally understand from the first equation you did 😭💙💙💙💙💙💙💙💙💙💙💙💙💙
Thank you sir
Thanks!!
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
Why did you choose to change the 5 to -5? What's the concept?
@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.
Wow this was so helpful 😍😍. I have a test in few hours and I got it
Thanks for the last tip
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.
Thank you for this,am now able to work out myself
9:26 how did you get 3x = 9
@samcameron1054
4 жыл бұрын
because it was 3x-4=5, 9-4 also equals 5
@tawakkalmatovu8
4 жыл бұрын
Hot stuff with jalebies
Thanks it has helped me alot ttttt
oh you genius!!
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
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
3 жыл бұрын
@@Eat_Pi thx and also ill check you out😄
thank you so much , you are a genius you made it so easy to understand .
You’re literally my lifesaver ! I find these so hard and I can finally do them 🥵
@randomdudejusthere8690
4 жыл бұрын
Tots agree 💯 %
great sir🎉
thank you so much
Thank you, because of you i wont be faling my exams
Tanks for
how did you get 3x=9 9:28
is it the same if you have a decimal number for x or y
@ngondiikandorozu1765
5 жыл бұрын
xSXKx-_-swayyvyy no
@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
I keep on getting decimals help me!!!!! Equations: 3x-7y=5 3x+7y=-9 just help me!!!!!
Good teacher
Tnx bro
Life saver
@victorroberts2016
3 жыл бұрын
Thanks
Mad💯
Why is it nobody else is using this means and will it always work on similar problems
This was the easiest ever . Thank you
Thanks
Why must it be eqn 2 to check
@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.
how did you get the 9 9:21
@hackingmathsOFFICIAL
2 жыл бұрын
By adding 4 to both sides of the equation 3x -4 = 5 3x -4 + 4 = 5 + 4 3x = 9