Solving simultaneous equations by substitution

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.

[@Mother_Lol]

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]

.

[@JardeOri-kc8ov]

Even for me

[@ivanexell-uz4mv]

@@JardeOri-kc8ov what do you mean even for me? You think you’re Jimmy neutron? 😂

[@ho-ohkay]

Me too, I get it now

[@elieelainor9821]

BRO'S LAUGH STUNNED MY HEART, NEVER LEAVING MATHS SIDE AGAIN

[@Unique7_7]

Exam tomorrow and i still dont know how to do them

[@zainabhassan3191]

Ahhh, that just clarified all my confusions! Thanks alot for this, this video was really helpful🤧✨

[@Nobody_Arco]

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]

No because sir didn't switch 44 he switched -12y and -7y

[@4espaverse]

This method was surprisingly easier than what my teacher taught me 💀

[@arthurmarston7128]

The teachers are always giving hard methods

[@emiliaa850]

No really though

[@meandmypets-le6lf]

Cause teachers are shit 😂

[@mercyfayehuno.5556]

Exactly

[@ecc2341]

​​@@arthurmarston7128theyre just shit at teaching

[@JavanTucker599]

Still can't get it...

[@DakotaPeters-kp9ux]

Your cooked bro

[@naimali2981]

​@@DakotaPeters-kp9ux😂

[@user-qp9wq2ct2q]

@@DakotaPeters-kp9uxfr (I can’t do them either)

[@asmahussein7056]

You and me both 😢

[@xvxgaryalex]

H7h7f f f

[@luhohnel]

Thank your for this short and concise video. Definitely leaving a like

[@yolandankosana5031]

Thank you so much!!! This was so helpful!! 💕💫

[@craniax2820]

Thanks a lot bro! It really helped a lot... Keep up the Great Work!

[@abdulrahmansalaudeen4935]

Thank you so much for this explanation it has being a very difficult topic for me to understand again thank you

[@josephinabukelwakekana8799]

Thank you Sir,
Everything well explained!!
You made things very easy for me

[@en-thetics176]

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]

Did you pass?

[@LynetteLovell]

Thank you! Keep up the good work 🙂

[@victorianameneamupolo2367]

Thank you very much.Your explanations are quite clear and easy to understand.

[@oonot6733]

You my friend are the goat I can't tell you how useful this was much love❤

[@syedmohammadwasi1013]

Thanks! Needed a quick recap, and this provided.

[@fatoumattajanneh3114]

Thank you so much 🥰💘 this topic is very hard to understand.But now I understand

[@techiester8311]

The world needs such people

[@heavenlykizzy4344]

Thank you so much you the best teacher ever.

[@tejasveenunkoo8512]

tyssmmm, ive a maths test tomorrow and ngl this vid really helped

[@Duckie.3011]

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.❤❤

[@BerverlyMaguma]

Thank you for the explanation I appreciate it and l really do understand everything thank you

[@mad_6519]

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

[@user-qb4su7xw3x]

Thank you so much for helping me.
I understand better now..

[@gonzaalex9045]

Waw you are such a good teacher thanks man

[@rogerwatson7288]

Love your voice, love your explanation. Thanks so much!!

[@feovlogssl9512]

Thanks this is so easy and understandable ❤

[@redxmoon495]

Thanks you ,you so great at teaching I understand everything 😂

[@tinamatilanisi9216]

Thank you very much for the wonderful explanation😔🙏🙏

[@dramatic5105]

Thank youu man this help me so much and I can't believe I actually understood it :⁠-⁠O

[@yousufsalman9215]

brilliant explaining bro❤

[@emmanueladdiah9877]

Love the handwriting!

[@ricardogibbs704]

thanks the way you explained it know i understand

[@ritz2452]

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]

;-;

[@RayansCompilation]

Yeah you are correct

[@grassytramtracks]

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]

​@@RayansCompilationno the video was right

[@ElBonito_14]

A much better and faster method of doing this. Mucho Gracias

[@davidotoo-ri5om]

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]

ur voice makes me melt ❤️‍🔥

[@eldarabbas3724]

Thanks a lot! 👍😀👌

[@oneshotff2903]

You know what you teach math very well.bro full support to you thank you so much

[@humanarmy9339]

Tomorrow is my paper thank you soon much I understood the question

[@vIP.bLACK444]

Thanks a lot this tutorial works

[@reginanamvula-nt4de]

How did sir get 38

[@rereoi]

12y+7y =19y
44-6=38
38÷19 = 2
Ig

[@lifeofwingy]

Thank you so much😊🥺💯. This is my weak area in maths and I can now do it better😊🙏

[@ayenidolapo6944]

Thank you so much may God bless you 🙏

[@anmollifestyle2669]

Thank you today is my math exam and now I understand how to solve it thx

[@hamsavarrushineapsaravananmoe]

very helpful for me , tqsm 🙏

[@krittinmanaloto8567]

this was sooo helpful😍

[@AEdits21]

You earned a new subscriber

[@nasraahmed1706]

What a life saver you teach better than my teacher thank you for understanding me 😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊

[@stars._.370]

When I was in class, my brain was in loops of multiverses

[@yutheebanmithunash8840]

U r awesome bro

[@adamzeiada2983]

thanks man my teacher tried to explain it to me in every way but i still wouldn't get it thank you:)

[@natureshorts5818]

Thanks This Helped :)

[@Meme_se_mazaq24]

Thanks for making it easier🎉

[@SouthSudaneseMusicLyric]

Thanks you brother ❤

[@zkuang]

Thanks, it does help.

[@GetrudeNyambe-nu8gb]

Where did you get this 7y

[@mbakori10]

Thank you so much 😻❤️❤️

[@HeadsetMan]

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??

[@shavoniilloyd7825]

I have learned nothing the words on the screen is hiding the equation and I'm not see the whole equation

[@djtjts9071]

Ty bro cause i was tweaking in class

[@Tomik978]

YOU HAVE A BIG FUTURE

[@hannahadejoh6741]

Thanks you're a life saver

[@elvinarguetasanchez9350]

I have a Question? When you isolate the variable Y in the first equation why do you change sign in 7,in third equation apear -7 and sevent stay in same side of iquality.i don't know that.If you do that I have to do that.i didn't know that .thankyou

[@grassytramtracks]

You can break it down into smaller steps. You could subtract 3x and make it -y=7-3x and then if you flip the signs it becomes y=-7+3x which we write the other way round as y=3x-7

[@tarikmansoor9088]

Which class do you learn this

[@sakinarizvi714]

He teaches better than my techer with 15 years experience

[@mariamasillah7495]

Thanks 👍 for making me understand 😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉

[@shahzar6152]

How 3 comes after re arranging equation number1.

[@onigbindeadeyemi6484]

Thank you sir so much 😊😊

[@user-hf2wd8hj1s]

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]

when u mnus with a negative it becomes bigger

[@florencehenry76]

Like, it's wrong

[@allahthegod]

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]

Exactly

[@lighthouseelectrical]

-×-=+

[@UzumakiNarutoHokage7th]

I can't understand sir, can u help me?

[@shenikalogan2345]

Thank you soo much you are a life saver

[@sadiomanefan404]

Thank You!

[@user-fy6iz4je9m]

im confused how did he get 19x-19 where did the 19 come from

[@lailacharles1901]

Is this working for other people because I'm still helps confused

[@katlegobokaba7945]

On equations 2 isn't y=3x+7

[@kfjfkeofitorhf9520]

Y===3X+7=
3X=7-y=
3X=6
X=2
6++7==13==(y)

[@karanveer6511]

thank you dude

[@rejoiceemeka-gberemakor362]

love it made it so much clearer now thanks LOVE IT!!!!!!

[@ferhatrayanachiou6577]

what if the coefficient is not one but 2 or three?

[@hisky.]

Then just simplify it

[@kimaya1412]

"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)

[@helenamaria5132]

How did the 9 came

[@user-gv7ys8gc7t]

Thank you so much sir

[@temitopeojo6060]

Nice guide

[@saachijain3559]

Thank you so much, i understood it very well. Wow, 8th grade math is tough. Anyways thank you again

[@attahattah7460]

thank you sir am very greateful

[@nanaakua118]

Please do you use this method only when there is a variable with a coefficient of 1?🤔🤔

[@grassytramtracks]

You can do it in any situation, but it might not be the easiest in other circumstances

[@aryankannan489]

You’ve just made my life so much better

[@ayanpro8457]

Same here

[@isha7079]

Thanks alot , your voice is very reassuring

[@cobrawhip9928]

Actual lifesaver

[@hadeejanilafer2183]

Thanks a lot.. you helped me a lot with my math wrk

[@habiba_hiba9760]

omggg i loveee youu thank you so much! also ur voice is amzaing!

[@user-yq6dz4nn4d]

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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 👍👍

[@Freedomtospeak1]

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]

Nice

[@jap4220]

When u wrote 6 instead of 2 I lost hope for a moment 😅

[@FessyIpinge]

Life saver I past my math test😂

[@faaresaitreen8046]

thank you !!!!!!!!!

[@stanleykachi8668]

Thank you.....

[@dianemangadjessa2802]

Thank you

[@abhaysurya6653]

Thanks u bro

[@obiwanjacobi9461]

why does 4 become 44?

[@Amal4iiii]

4 times 11 is 44