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Solving simultaneous equations by substitution

  Рет қаралды 458,364

Whiteboard Maths

Whiteboard Maths

Күн бұрын

Now we look at solving simultaneous equations by a method of substitution. This involves re-arranging one equation to isolate a variable and then substituting this into the other equation.

Пікірлер: 295
@JavanTucker599
@JavanTucker599 4 ай бұрын
Still can't get it...
@DakotaPeters-kp9ux
@DakotaPeters-kp9ux 3 ай бұрын
Your cooked bro
@naimali2981
@naimali2981 3 ай бұрын
​@@DakotaPeters-kp9ux😂
@user-qp9wq2ct2q
@user-qp9wq2ct2q 3 ай бұрын
@@DakotaPeters-kp9uxfr (I can’t do them either)
@asmahussein7056
@asmahussein7056 3 ай бұрын
You and me both 😢
@xvxgaryalex
@xvxgaryalex 3 ай бұрын
H7h7f f f
@4espaverse
@4espaverse Жыл бұрын
This method was surprisingly easier than what my teacher taught me 💀
@arthurmarston7128
@arthurmarston7128 Жыл бұрын
The teachers are always giving hard methods
@emiliaa850
@emiliaa850 Жыл бұрын
No really though
@meandmypets-le6lf
@meandmypets-le6lf Жыл бұрын
Cause teachers are shit 😂
@mercyfayehuno.5556
@mercyfayehuno.5556 11 ай бұрын
Exactly
@ecc0006
@ecc0006 10 ай бұрын
​​@@arthurmarston7128theyre just shit at teaching
@Mother_Lol
@Mother_Lol 3 жыл бұрын
Thank you so much for the explanation. This was a really difficult concept for me to understand. Thank u again for a great explanation 😀
@jendisipison
@jendisipison 9 ай бұрын
.
@JardeOri-kc8ov
@JardeOri-kc8ov 8 ай бұрын
Even for me
@ivanexell-uz4mv
@ivanexell-uz4mv 4 ай бұрын
@@JardeOri-kc8ov what do you mean even for me? You think you’re Jimmy neutron? 😂
@ho-ohkay
@ho-ohkay 2 ай бұрын
Me too, I get it now
@Unique7_7
@Unique7_7 2 ай бұрын
Exam tomorrow and i still dont know how to do them
@Freedomtospeak1
@Freedomtospeak1 8 ай бұрын
Easy solve by substitution. Original New equation X + 3y = 11. -4x-12y = -44 4x - 7y = 6. 4x- 7y = 6 Mult top row by -4 -------------- - 19y= -38 Divide both sides by -19 Now y = 2. Plug in 2 for y and …. X+ 3(2) = 11 X + 6 = 11 -> subt 6 from both sides leaving X = 5 Plug x= 5 and y = 2 into both original equations as proof
@Scope2010
@Scope2010 3 ай бұрын
Nice
@elieelainor9821
@elieelainor9821 Жыл бұрын
BRO'S LAUGH STUNNED MY HEART, NEVER LEAVING MATHS SIDE AGAIN
@zainabhassan3191
@zainabhassan3191 Жыл бұрын
Ahhh, that just clarified all my confusions! Thanks alot for this, this video was really helpful🤧✨
@ritz2452
@ritz2452 2 жыл бұрын
There is however a different solution to x+3y and 4x-7y.To make x the subject of the formulae of the first equation we get x=11-3y.Therefor when substituting x into the second equation we get 4(11-3y)-7y=6.After that we multiply everything in the bracket with 4.So after multiplying we get 44-12y-7y=6.We then group like terms which require transposing so after grouping like terms we get -12y-7y=6-44.After simplifying this equation we get -19y=-38.We then divide by 19 at both sides so 19y divided by 19y will answer with y.-38 divided by 19 gives us -2.So y=-2.To find x we substitute y in the first equation and therefor x+3(-2)=11.We then simplify the equation which will be x+-6=11.We then transpose the 6 to the 11 to group like terms.So then x=11+6 (The sign of the transposed value turns into the opposite sign.).So then x=17.To test if we are correct use any of the equations like x=3y=11.Simplify in the expression we get 17+3(-2)=11.However both answers are correct.
@itsspeed7301
@itsspeed7301 2 жыл бұрын
;-;
@RayansCompilation
@RayansCompilation 10 ай бұрын
Yeah you are correct
@grassytramtracks
@grassytramtracks 10 ай бұрын
y is not -2, -19y=-38, so -y=-2 and y=2, and you got rid of the minus on the left, but not on the right, which you can't do, you need to un-minus both sodes
@grassytramtracks
@grassytramtracks 10 ай бұрын
​@@RayansCompilationno the video was right
@Nobody_Arco
@Nobody_Arco 2 ай бұрын
Wont y become negative 2 cause positive 44 got switched to the other side so 6 minus negative 44 equals to negative 38 so help
@TadiwaMukaro-qh1un
@TadiwaMukaro-qh1un Ай бұрын
No because sir didn't switch 44 he switched -12y and -7y
@en-thetics176
@en-thetics176 Жыл бұрын
Thank you soo much you saved my day because tomorrow is my exam and my concept wasn't clear but you saved my dayyy
@heavydutysolutionszambiali7633
@heavydutysolutionszambiali7633 2 ай бұрын
Did you pass?
@aryankannan489
@aryankannan489 3 жыл бұрын
You’ve just made my life so much better
@ayanpro8457
@ayanpro8457 Жыл бұрын
Same here
@techiester8311
@techiester8311 3 жыл бұрын
The world needs such people
@nasraahmed1706
@nasraahmed1706 8 ай бұрын
What a life saver you teach better than my teacher thank you for understanding me 😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊
@rogerwatson7288
@rogerwatson7288 3 жыл бұрын
Love your voice, love your explanation. Thanks so much!!
@mad_6519
@mad_6519 3 ай бұрын
Thank you so much. The reason I'm only really good at sciences (including comp sci) is because I only remember to do things if I know why. I couldn't remember anything about differentiation by first principles if I didn't know what we were trying to achieve, and just as such you have explained *why* we do what we do
@craniax2820
@craniax2820 4 жыл бұрын
Thanks a lot bro! It really helped a lot... Keep up the Great Work!
@reginanamvula-nt4de
@reginanamvula-nt4de 2 ай бұрын
How did sir get 38
@rereoi
@rereoi Ай бұрын
12y+7y =19y 44-6=38 38÷19 = 2 Ig
@fatoumattajanneh3114
@fatoumattajanneh3114 Жыл бұрын
Thank you so much 🥰💘 this topic is very hard to understand.But now I understand
@yolandankosana5031
@yolandankosana5031 2 жыл бұрын
Thank you so much!!! This was so helpful!! 💕💫
@abdulrahmansalaudeen4935
@abdulrahmansalaudeen4935 Жыл бұрын
Thank you so much for this explanation it has being a very difficult topic for me to understand again thank you
@user-hf2wd8hj1s
@user-hf2wd8hj1s 9 ай бұрын
how is -12y-7y = positive 19? shouldnt it equal -19? But even without the negative next to the 12y it would be positive 5. or maybe 12y minus negative 7y, which does equal +19?
@projectprada-vf1tl
@projectprada-vf1tl 4 ай бұрын
when u mnus with a negative it becomes bigger
@florencehenry76
@florencehenry76 4 ай бұрын
Like, it's wrong
@allahthegod
@allahthegod 3 ай бұрын
when you put a number from one side of an equals (=) sign to the other .. you change it from positive to negative. or negative to positive.
@starGirl-dl1rx
@starGirl-dl1rx 3 ай бұрын
Exactly
@lighthouseelectrical
@lighthouseelectrical 2 ай бұрын
-×-=+
@syedmohammadwasi1013
@syedmohammadwasi1013 2 жыл бұрын
Thanks! Needed a quick recap, and this provided.
@humanarmy9339
@humanarmy9339 3 жыл бұрын
Tomorrow is my paper thank you soon much I understood the question
@victorianameneamupolo2367
@victorianameneamupolo2367 Жыл бұрын
Thank you very much.Your explanations are quite clear and easy to understand.
@luhohnel
@luhohnel 9 ай бұрын
Thank your for this short and concise video. Definitely leaving a like
@Duckie.3011
@Duckie.3011 Жыл бұрын
Bro thank you bro I was having trouble how to do it as a grade 7 student and I get it after this video thank you so much after a very long time I finnally get it.❤❤
@redxmoon495
@redxmoon495 Жыл бұрын
Thanks you ,you so great at teaching I understand everything 😂
@lifeofwingy
@lifeofwingy 3 жыл бұрын
Thank you so much😊🥺💯. This is my weak area in maths and I can now do it better😊🙏
@UzumakiNarutoHokage7th
@UzumakiNarutoHokage7th 3 ай бұрын
I can't understand sir, can u help me?
@davidotoo-ri5om
@davidotoo-ri5om 6 ай бұрын
that was easy for the first time willing to see the next one in I think it will be a difficult one if there is
@eunwoovrs1715
@eunwoovrs1715 2 жыл бұрын
ur voice makes me melt ❤️‍🔥
@shenikalogan2345
@shenikalogan2345 3 жыл бұрын
Thank you soo much you are a life saver
@shavoniilloyd7825
@shavoniilloyd7825 3 жыл бұрын
I have learned nothing the words on the screen is hiding the equation and I'm not see the whole equation
@user-qb4su7xw3x
@user-qb4su7xw3x 3 ай бұрын
Thank you so much for helping me. I understand better now..
@Tomik978
@Tomik978 4 жыл бұрын
YOU HAVE A BIG FUTURE
@emmanueladdiah9877
@emmanueladdiah9877 Жыл бұрын
Love the handwriting!
@sakinarizvi714
@sakinarizvi714 9 ай бұрын
He teaches better than my techer with 15 years experience
@oonot6733
@oonot6733 2 ай бұрын
You my friend are the goat I can't tell you how useful this was much love❤
@josephinabukelwakekana8799
@josephinabukelwakekana8799 7 ай бұрын
Thank you Sir, Everything well explained!! You made things very easy for me
@oneshotff2903
@oneshotff2903 2 жыл бұрын
You know what you teach math very well.bro full support to you thank you so much
@stars._.370
@stars._.370 10 ай бұрын
When I was in class, my brain was in loops of multiverses
@anmollifestyle2669
@anmollifestyle2669 2 ай бұрын
Thank you today is my math exam and now I understand how to solve it thx
@mariamasillah7495
@mariamasillah7495 Жыл бұрын
Thanks 👍 for making me understand 😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉
@hannahadejoh6741
@hannahadejoh6741 4 жыл бұрын
Thanks you're a life saver
@djtjts9071
@djtjts9071 5 ай бұрын
Ty bro cause i was tweaking in class
@TCmadethisBeats
@TCmadethisBeats Жыл бұрын
Exam tmrw morning. Only started studying now, it’s 10:30pm. Thanks for the clear and fast explanation lol 🤣
@M3sh0
@M3sh0 9 ай бұрын
omg same i’ve a math exam tomorrow but it’s 10:15 rn
@rereoi
@rereoi 7 ай бұрын
​@@M3sh0 10:28pm for me 😂
@jap4220
@jap4220 Жыл бұрын
When u wrote 6 instead of 2 I lost hope for a moment 😅
@heavenlykizzy4344
@heavenlykizzy4344 2 жыл бұрын
Thank you so much you the best teacher ever.
@nninggsaee
@nninggsaee 5 ай бұрын
Sir with all respect if u were my teacher I would die because your voice is giving me so many butterflies. My heart go boom boom
@adamzeiada2983
@adamzeiada2983 8 ай бұрын
thanks man my teacher tried to explain it to me in every way but i still wouldn't get it thank you:)
@katlegobokaba7945
@katlegobokaba7945 2 жыл бұрын
On equations 2 isn't y=3x+7
@kfjfkeofitorhf9520
@kfjfkeofitorhf9520 Жыл бұрын
Y===3X+7= 3X=7-y= 3X=6 X=2 6++7==13==(y)
@aidenisakronk5953
@aidenisakronk5953 2 жыл бұрын
lifesaver my teacher is kinda Dogshit and you really came in clutch before my exam
@gonzaalex9045
@gonzaalex9045 2 жыл бұрын
Waw you are such a good teacher thanks man
@tejasveenunkoo8512
@tejasveenunkoo8512 2 жыл бұрын
tyssmmm, ive a maths test tomorrow and ngl this vid really helped
@LynetteLovell
@LynetteLovell Жыл бұрын
Thank you! Keep up the good work 🙂
@saachijain3559
@saachijain3559 3 жыл бұрын
Thank you so much, i understood it very well. Wow, 8th grade math is tough. Anyways thank you again
@yutheebanmithunash8840
@yutheebanmithunash8840 Жыл бұрын
U r awesome bro
@ferhatrayanachiou6577
@ferhatrayanachiou6577 2 жыл бұрын
what if the coefficient is not one but 2 or three?
@hisky.
@hisky. 2 жыл бұрын
Then just simplify it
@kimaya1412
@kimaya1412 2 жыл бұрын
"2x=11-3y" divide bothsides by 2 x= 5.5-1.5y (THIS IS MY MADE UP EXAMPLE THXS) edit; "2y=3x-7" divide both sides y=1.5x-3.5 so yh (THIS IS MY MADE UP EXAMPLE THXS SO DONT USE TO SOLVE THIS EXACT EQUATION THX LUVS)
@stevenscottoddballz
@stevenscottoddballz 2 жыл бұрын
2:43 Which is it? You said Y=5, then you said X=5, Y=2.
@mikkelhoxer9071
@mikkelhoxer9071 Жыл бұрын
He misspoke
@rejoiceemeka-gberemakor362
@rejoiceemeka-gberemakor362 4 жыл бұрын
love it made it so much clearer now thanks LOVE IT!!!!!!
@feovlogssl9512
@feovlogssl9512 3 ай бұрын
Thanks this is so easy and understandable ❤
@BerverlyMaguma
@BerverlyMaguma 25 күн бұрын
Thank you for the explanation I appreciate it and l really do understand everything thank you
@natureshorts5818
@natureshorts5818 Жыл бұрын
Thanks This Helped :)
@ElBonito_14
@ElBonito_14 7 ай бұрын
A much better and faster method of doing this. Mucho Gracias
@hamsavarrushineapsaravananmoe
@hamsavarrushineapsaravananmoe Жыл бұрын
very helpful for me , tqsm 🙏
@DavidsonAgbeyegbe-re3ez
@DavidsonAgbeyegbe-re3ez 6 ай бұрын
Aren't there exercises but this was a very inspiring and important video, at least i got to know how to solve simultaneous equation
@FessyIpinge
@FessyIpinge 3 ай бұрын
Life saver I past my math test😂
@Yescauseidgas
@Yescauseidgas 5 ай бұрын
I honestly find elimination way easier I think i just didnt understand or listen when my teacher talked about substitution
@benita-elixiroba7970
@benita-elixiroba7970 7 күн бұрын
Thank you teacher.
@mbakori10
@mbakori10 Жыл бұрын
Thank you so much 😻❤️❤️
@nsikakakpan1199
@nsikakakpan1199 4 ай бұрын
thank you very much for the tutoring i now know the substitution easily 😀 😃
@HeadsetMan
@HeadsetMan Ай бұрын
Can’t you plug Y=2 into the first line making it become 6 and then make 6 go to the other side and make it negative 6 and then subtract eleven w -6 to get 5??
@nkt.11
@nkt.11 2 жыл бұрын
3:37 why didn’t you rearrange equation 3 the same way you arranged it in the first example, just curious
@eunwoovrs1715
@eunwoovrs1715 2 жыл бұрын
i was wondering the same thinf
@twiliverse
@twiliverse Жыл бұрын
Because then it wouldn't work. Using equation II, we have solved the value of x. Later on, the equation we had rearranged will have to be used. We put the value of x in the re-arranged equation I and we get the value of y. Hope this helped!
@hadeejanilafer2183
@hadeejanilafer2183 4 жыл бұрын
Thanks a lot.. you helped me a lot with my math wrk
@user-yq6dz4nn4d
@user-yq6dz4nn4d Жыл бұрын
❤❤❤❤❤❤❤❤❤❤❤ I looooovvvvvveeeee this video 😊 The way you explained everything step by step is excellently easier and better than what my teachers have ever explained 😊❤ 👍keep up the good work 👍👍
@AEdits21
@AEdits21 Жыл бұрын
You earned a new subscriber
@eldarabbas3724
@eldarabbas3724 2 жыл бұрын
Thanks a lot! 👍😀👌
@yousufsalman9215
@yousufsalman9215 8 ай бұрын
brilliant explaining bro❤
@tinamatilanisi9216
@tinamatilanisi9216 6 ай бұрын
Thank you very much for the wonderful explanation😔🙏🙏
@Thunderbolt-uo-5jr
@Thunderbolt-uo-5jr 3 күн бұрын
Thank u a lot bri❤
@vIP.bLACK444
@vIP.bLACK444 2 жыл бұрын
Thanks a lot this tutorial works
@ayenidolapo6944
@ayenidolapo6944 Жыл бұрын
Thank you so much may God bless you 🙏
@user-fy6iz4je9m
@user-fy6iz4je9m 9 ай бұрын
im confused how did he get 19x-19 where did the 19 come from
@gregoriusnathankurniawan2348
@gregoriusnathankurniawan2348 3 ай бұрын
Thank you so much, you saved my final test grades
@Meme_se_mazaq24
@Meme_se_mazaq24 4 ай бұрын
Thanks for making it easier🎉
@wantaball117
@wantaball117 Жыл бұрын
this is why i need to drop out of maths, i still dont understand how they randomly grab numbers out of nowhere
@user-wf9ek7yv6d
@user-wf9ek7yv6d 10 ай бұрын
hahhaahhaha,broo you dont know wht iscoming in 2-3 years
@diamondnation317
@diamondnation317 2 жыл бұрын
What about when there are no isolated variables
@dramatic5105
@dramatic5105 Жыл бұрын
Thank youu man this help me so much and I can't believe I actually understood it :⁠-⁠O
@shahzar6152
@shahzar6152 Жыл бұрын
How 3 comes after re arranging equation number1.
@zkuang
@zkuang 2 ай бұрын
Thanks, it does help.
@obiwanjacobi9461
@obiwanjacobi9461 5 ай бұрын
why does 4 become 44?
@Amal4iiii
@Amal4iiii 4 ай бұрын
4 times 11 is 44
@mimilive96
@mimilive96 Жыл бұрын
💐💐💐💐💐💐💐
@abdulahiabdirahman-ze1eo
@abdulahiabdirahman-ze1eo Жыл бұрын
question 1 y=-2 not y=2
@grassytramtracks
@grassytramtracks 10 ай бұрын
No, it's 2. He went in one step but I'll break it down: from 44-7y-12y=6, -44 makes it -7y-12y=-38 and add the y's to make -19y=-38 and then you can change the signs to 19y=38
@isha7079
@isha7079 3 жыл бұрын
Thanks alot , your voice is very reassuring
@TheGhostofSparta9
@TheGhostofSparta9 5 ай бұрын
I got a Test on this tmr.
@TsepisoMabila
@TsepisoMabila 4 ай бұрын
Solve the simultaneous equation,3x_2y=19 X+y=3
@user-uo9yp7qg2e
@user-uo9yp7qg2e 10 ай бұрын
The first mistake you did really scared me
@cpextremecraftgaming4887
@cpextremecraftgaming4887 2 жыл бұрын
It just made me even more confused
@sophiehind5977
@sophiehind5977 2 жыл бұрын
same
@attahattah7460
@attahattah7460 10 ай бұрын
thank you sir am very greateful
@shemarhalley228
@shemarhalley228 3 жыл бұрын
I cant see the 4 step the words on the screen is preventing me from seeing
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